Coordinate Geometry Important Questions

9th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 50
8 x 1 = 8
1. Point (–3,5) lie in the ________ quadrant

(a)

I

(b)

II

(c)

III

(d)

IV

2. Point (–10, 0) lies _______________________________

(a)

on the negative direction of x-axis

(b)

on the negative direction of y-axis

(c)

(d)

3. 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)

4. 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

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. The point whose abscissa is 5 and lies on the x-axis is__________

(a)

(-5, 0)

(b)

(5,5)

(c)

(0,5)

(d)

(5,0)

7. A point on the y-axis is ________________

(a)

(1, 1)

(b)

(6,0)

(c)

(0,6)

(d)

(-1, -1)

8. The distance between the points (-1, 2) and (3, 2) is____________

(a)

$\sqrt{14}$

(b)

$\sqrt{15}$

(c)

4

(d)

0

9. 4 x 1 = 4
10. The abscissa of the origin is ____________

()

0

11. The ordinate of every point on the x-axis is________________

()

0

12. The abscissa of every point on y-axis is______________

()

0

13. The axis intersect at a point called _____________

()

Origin

14. 4 x 2 = 8
15. In which quadrant does the following points lie? (3,–8)

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

17. Plot the following points in the coordinate system and identify the quadrants P(–7,6), Q(7,–2), R(–6,–7), S(3,5) and T(3,9)

18. Find the distance between the following pairs of points. (1, 2) and (4, 3)

19. 5 x 3 = 15
20. Find the distance between the points (–4, 3), (2,–3).

21. Calculate the distance between the points A (7, 3) and B which lies on the x-axis whose abscissa is 11.

22. Let A(2, 3) and B(2,–4) be two points. If P lies on the x-axis, such that AP = $\frac{3}{7}$ AB, find the coordinates of P.

23. Determine whether the given set of points in each case are collinear or not (a,–2), (a,3), (a,0)

24. Show that the following points taken in order form the vertices of a parallelogram. A(–3, 1), B(–6, –7), C (3, –9) and D(6, –1)

25. 3 x 5 = 15
26. Plot the following points (0,–3),(0,4),(0,–1),(0,5) in the Cartesian plane. Where do they lie?

27. If the distance between the points (5,–2), (1, a), is 5 units, find the values of a.

28. If A, B, C are points, (–1, 1), (1, 3) and (3, a) respectively and if AB = BC, then find ‘a’.