RD SHARMA Solutions for Class 9 Maths Chapter 8 - Co-ordinate Geometry

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Chapter 8 - Co-ordinate Geometry Exercise Ex. 8.1

Question 1

Plot the following points on the graph paper:

(i) (2,5)

(ii) (4,-3)

(iii) (-5,-7)

(iv) (7,-4)

(v) (-3,2)

(vi) (7,0)

(vii) (-4,0)

(viii) (0,7)

(ix) (0,-4)

(x) (0,0)

Solution 1

The graph of the given points are:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 2

Write the coordinates of each of the following points marked in the graph paper:

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Solution 2

The coordinates of the given points are A(3,1), B(6,0), C(0,6), D(-3,0), E(-4,3), F(-2,-4), G(0,-5), H(3,-6), P(7,-3) and Q(7,6)

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Chapter 8 - Co-ordinate Geometry Exercise 8.7

Question 1

The Point of intersection of co-ordinate axes is

(a) ordinate (b) abscissa   (c) quadrant  (d) origin

Solution 1

The point of intersection of co-ordinate axes i.e. X-axis and Y-axis is (0, 0), which is called origin.

Hence, correct option is (d).

Question 2

The abscissa and ordinate of the origin are

(a) (0, 0)  

(b) (1, 0)

(c) (0, 1)  

(d) (1, 1)

Solution 2

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate GeometryRd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate GeometryRd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 3

The measure of the angle between the coordinate axes is

(a) 0o    (b) 900   (c)1800      (d)3600
Solution 3

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 4

A point whose abscissa and ordinate are 2 and -5 respectively, lies in 

(a) First quadrant

(b) Second quadrant

(c) Third quadrant

(d) Fourth quadrant

Solution 4

Abscissa is = 2 (positive intercept on X-axis)

and ordinate = -5 (negative intercept on Y-axis)

so X-value is positive and Y-value is negative, i.e. Fourth Quadrant.

Hence, correct option is (d).

Question 5

Point (-4, 0) and (7, 0) lie

(a) on X- axis

(b) on Y- axis

(c) in first quadrant 

(d) in second quadrant


Solution 5

In (-4, 0) and (7, 0 ),

measure of ordinate = 0

That means, intercept on Y-axis = 0

So, points lies on X-axis.

Hence, correct option is (a).

Question 6

The ordinate of any point on X-axis is

(a) 0

(b) 1

(c) -1

(d) any number

Solution 6

On X- axis, all points have their  Y- intercept = 0

So their ordinate = 0

Hence, correct option is (a).

Question 7

The abscissa of any point on Y-axis is

(a) 0

(b) 1

(c) -1

(d) any number

Solution 7

Every point on Y-axis have X-intercept = 0

Thus, their abscissa = 0

Hence, correct option is (a).

Question 8

The abscissa of a point is positive in the

(a) First and Second quadrant

(b) Secod and Third quadrant

(c) Third and Fourth quadrant

(d) Fourth and First quadrant

Solution 8

Abscissa = Intercept on X-axis

If intercept on X-axis is positive, means First and Fourth quadrant.

Hence, correct option is (d).

Question 9

A point whose abscissa is -3 and ordinate 2 lies in

(a) First Quadrant

(b) Second Quadrant

(c) Third Quadrant

(d) Fourth Quadrant

 

Solution 9

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 10

Two points having same abscissae but different ordinates lie on

(a) X-axis

(b) Y-axis

(c) a line parallel of Y-axis

(d) a line parallel to X-axis

Solution 10

Let two points be (a, b) and (a, c).

If abscissa is same = a

and ordinate is different then all such points will lie on a line parallel to Y- axis because value of X-intercept  

i.e. abscissa is fixed.

Hence, correct option is (c).

Question 11

The perpendicular distance of the point P (4, 3) form x-axis is

(a) 4

(b) 3

(c) 5

(d) None of these

Solution 11

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 12

The perpendicular distance of the point P(4, 3) from y-axis is

(a) 4

(b) 3

(c) 5

(d) none of these

Solution 12

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 13

The distance of the point P(4, 3) from the origin is

(a) 4

(b) 3

(c) 5

(d) 7

Solution 13

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 14

The area of the triangle formed by the points A(2, 0), B(6, 0) and C(4, 6) is

(a) 24 sq. units

(b) 12 sq. units

(c) 10 sq. units

(d) none of these

Solution 14

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Question 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Solution 15

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry

Rd-sharma Solutions Cbse Class 9 Mathematics Chapter - Co Ordinate Geometry