RD SHARMA Solutions for Class 12-science Maths Chapter 28 - Straight line in space

Chapter 28 - Straight line in space Exercise Ex. 28.1

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Find the vector equation of the line passing through the points (-1, 0, 2) and (3, 4, 6).

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 16

.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.2

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Show that the line through the points (1, -1, 2) and (3, 4, -2) is perpendicular to the line through points (0, 3, 2) and (3, 5, 6).

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Show that the line through the points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (-1, -2, 1) and (1, 2, 5).

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 6

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1) and (4, 3, -1).

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Find the equation of a line parallel to x-axis and passing through the origin.

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(v)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(v)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9(vi)

find the angle between the following pairs of line :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10(iv)

find the angle between the pairs of lines with directions ratios proposal to a, b, c and b - c, c - a, a - b.

Solution 10(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.3

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.4

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space.

.
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 14

Find the coordinates of the foot of perpendicular drawn from the point A (1, 8, 4) to the line joining the points B (0, -1, 3) and C (2, -3, -1).

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Chapter 28 - Straight line in space Exercise Ex. 28.5

Question 1(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 1(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 1(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 1(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 1(v)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(v)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 1(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(vi)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 1(vii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1(vii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 1(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 1(viii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 2(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In SpaceRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 4(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 4(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 7(i)

Find the shortest distance between the lines

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7(i)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7(ii)

Find the shortest distance between the lines


Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7(ii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7(iii)

Find the shortest distance between the lines

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7(iii)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7(iv)

Find the shortest distance between the lines

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7(iv)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Find the distance between the lines l1 and l2 given by

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Chapter 28 - Straight line in space Exercise MCQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 45°
  2. 30°
  3. 60°
  4. 90°
Solution 1

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. coincident
  2. skew
  3. intersecting
  4. parallel
Solution 2

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 4, 5, 7
  2. 4, -5, 7
  3. 4, -5, -7
  4. -4, 5, 7
Solution 3

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Solution 4

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 7
  2. 5
  3. 0
  4. none of these
Solution 6

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

 

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 8

If a line makes angles α, β and γ with the axes respectively, then cos 2 α + cos 2 β + cos 2 γ =

  1. -2
  2. -1
  3. 1
  4. 2
Solution 8

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

NOTE: Answer not matching with back answer.

Question 9

If the direction ratios of a line are proportional to 1, -3, 2, then its direction cosines are

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 11

The projections of a line segment on X, Y and Z axes are 12, 4 and 3 respectively. The length and direction cosines of the line segment are

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. parallel
  2. intersecting
  3. skew
  4. coincident
Solution 12

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

NOTE: Answer not matching with back answer. 

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. parallel to x-axis
  2. parallel to y-axis
  3. parallel to z-axis
  4. perpendicular to z-axis
Solution 13

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Chapter 28 - Straight line in space Exercise Ex. 28VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space2013-12-24

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 18

.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space