#### Coordinate Geometry Book Back Questions

9th Standard

Reg.No. :
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Maths

Time : 00:45:00 Hrs
Total Marks : 30
5 x 1 = 5
1. Point (–3,5) lie in the ________ quadrant

(a)

I

(b)

II

(c)

III

(d)

IV

2. The point M lies in the IV quadrant. The coordinates of M is _______

(a)

(a,b)

(b)

(–a, b)

(c)

(a, –b)

(d)

(–a, –b)

3. On plotting the points O(0,0), A(3, – 4), B(3, 4) and C(0, 4) and joining OA, AB, BC and CO, which of the following figure is obtained?

(a)

Square

(b)

Rectangle

(c)

Trapezium

(d)

Rhombus

4. If P( –1,1), Q( 3,–4), R( 1, –1), S(–2, –3) and T( –4, 4) are plotted on a graph paper, then the points in the fourth quadrant are

(a)

P and T

(b)

Q and R

(c)

only S

(d)

P and Q

5. The point whose ordinate is 4 and which lies on the y-axis is............

(a)

( 4, 0 )

(b)

(0, 4)

(c)

(1, 4)

(d)

(4, 2)

6. 3 x 2 = 6
7. In which quadrant does the following points lie? (3,–8)

8. In which quadrant does the following points lie?(2, 5)

9. In which quadrant does the following points lie?(–7, 3)

10. 3 x 3 = 9
11. Find the distance between the points (–4, 3), (2,–3).

12. Determine whether the given set of points in each case are collinear or not (–2, –8), (2,–3) (6,2)

13. Show that the following points taken in order form an isosceles triangle A (6,–4), B (–2, –4), C (2,10)

14. 2 x 5 = 10
15. Plot the following points A(2,2), B(–2,2), C(–2,–1), D(2,–1) in the Cartesian plane . Discuss the type of the diagram by joining all the points taken in order

16. Show that (4, 3) is the centre of the circle passing through the points (9, 3), (7,–1), (–1,3). Find the radius.