# Chapter 8 : Co-ordinate Geometry - Rd Sharma Solutions for Class 9 Maths CBSE

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## Chapter 8 - Co-ordinate Geometry Excercise 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: Question 2

Write the coordinates of each of the following points marked in the graph paper: 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) ## Chapter 8 - Co-ordinate Geometry Excercise 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   Question 3

The measure of the angle between the coordinate axes is

(a) 0o    (b) 900   (c)1800      (d)3600
Solution 3 Question 4

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

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

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

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

Solution 9 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 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 Question 13

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

(a) 4

(b) 3

(c) 5

(d) 7

Solution 13 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  Question 15 Solution 15  