RD SHARMA Solutions for Class 11-science Maths Chapter 24 - The Circle

Chapter 23 - The Circle Exercise Ex. 24.2

Question 14

If a circle passes through the point (0, 0), (a, 0), (0, b), then find the coordinates of its centre.

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle
 

 

Question 1(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The CircleRd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(iv)

Find the equation of the circle which circumscribes the triangle formed by the lines.

iv. y = x + 2, 3y = 4x and 2y = 3x.

Solution 7(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle 

Question 15

Find the equation of the circle which passes through the point (2, 3) and (4, 5) and the centre lies on the straight line y - 4x + 3 = 0.

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle 

Chapter 24 - The Circle Exercise Ex. 24.1

Question 1(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 1(v)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1(v)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(i)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(ii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(iii)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7(iv)

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 13

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 14

If the lines 2x-3y = 5 and 3x-4y = 7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

Solution 14

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 15

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 16

Find the equation of the circle having (1, -2) as its centre and passing through the intersection of the lines 3x + y = 14 and 2x +5y = 18.

Solution 16

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

 

 

Question 17

If the lines 3x-4y+4 = 0 and 6x-8y-7 = 0 are tangents to a circle, then find the radius of the circle.

Solution 17

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

 Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

 

 

Question 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 18

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle


 

 

 

Question 19

The circle x2+y2-2x-2y+1 = 0 is rolled along the positive direction of x-axis and makes one complete roll. Find its equation in new-position.

Solution 19

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 20

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 21

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Chapter 24 - The Circle Exercise Ex. 24.3

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 10

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 11

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 12

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

 Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 9

ABCD is a square whose side is a; taking AB and AD as axes, prove that the equation of the circle circumscribing the square is x2 + y2 - a (x + y) = 0

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle 

Chapter 24 - The Circle Exercise Ex. 24VSAQ

Question 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 1

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 2

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 3

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 4

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 5

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 6

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 7

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 8

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Question 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle
Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle

Solution 9

Rd-sharma Solutions Cbse Class 11-science Mathematics Chapter - The Circle