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

## Chapter 8 - Co-ordinate Geometry Exercise Ex. 8.1

**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)**

**The graph of the given points are:**

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

**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 Exercise 8.7

The Point of intersection of co-ordinate axes is

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

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).

The abscissa and ordinate of the origin are

(a) (0, 0)

(b) (1, 0)

(c) (0, 1)

(d) (1, 1)

The measure of the angle between the coordinate axes is

*(a) 0*

^{o }(b) 90^{0}(c)180^{0}(d)360^{0}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

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).

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

(a) on X- axis

(b) on Y- axis

(c) in first quadrant

(d) in second quadrant

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).

The ordinate of any point on X-axis is

(a) 0

(b) 1

(c) -1

(d) any number

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

So their ordinate = 0

Hence, correct option is (a).

The abscissa of any point on Y-axis is

(a) 0

(b) 1

(c) -1

(d) any number

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

Thus, their abscissa = 0

Hence, correct option is (a).

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

Abscissa = Intercept on X-axis

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

Hence, correct option is (d).

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

(a) First Quadrant

(b) Second Quadrant

(c) Third Quadrant

(d) Fourth Quadrant

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

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).

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

(a) 4

(b) 3

(c) 5

(d) None of these

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

(a) 4

(b) 3

(c) 5

(d) none of these

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

(a) 4

(b) 3

(c) 5

(d) 7

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

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