COORDINATE GEOMETRY
CLASS IX
Questions From CBSE Examination Papers
1. The point (–5, 2) and (2, –5) lie in the:
(a) same quadrants
10. Locate the following points in the cartesian plane :
A(3, 0), B(0, 5), C(–3, –5) and D(2, 4)
(b) II and III quadrants respectively
11. Write the co-ordinates of A, B, C and D from the
fgure 2.
(c) II and IV quadrants respectively
(d) IV and III quadrants respectively
2. The distance of a point (0, –3) from the origin
is :
(a) 0 units
(b) –3 units
(c) cannot be determined (d) 3 units
3. Which of the following points lie on the negative
side of x-axis ?
(a) (–4, 0) (b) (–3, 2)
© (0,–4)
(d) (5, –7)
4. Write the name of the quadrant in which the point
(–3, –5) lies.
(a) first quadrant
(b) second quadrant
(c) third quadrant
(d) fourth quadrant
12. In the figure, write the co-ordinates of the points
P, Q, R and S.
5. Ordinate of a point is negative in :
(a) III and IV quadrant (b) III quadrant only
(c) II and III quadrant
(d) IV quadrant only
6. The co-ordinates of the point which lies on y-axis
at a distance of 4 units in negative direction of
y -axis is
(a) (0, 4)
(b) (4, 0)
(c) (0, –4)
(d) (–4, 0)
7. Abscissa of a point is positive in :
(a) I and II quadrant
(b) I and IV quadrant
(c) I quadrant only
(d) IV quadrant only
8. Point (0, 4) lies :
(a) in I quadrant
(b) on x-axis
(c) on y-axis
(d) in IV quadrant
9. Write the name of the quadrant in which the point
(–3, 5) lies.
(a) first quadrant
(c) third quadrant
(b)second quadrant
(d) fourth quadrant
13. Draw a quadrilateral whose vertices are (3, 2),
(2, 3), (–4, 5) and (5, –3).
14. Plot the points (–2, 0) and (3, –4) in the coordinate
plane.
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15. The perpendicular distance of a point from the
x-axis is 2 units and the perpendicular distance
from the y-axis is 5 units. Write the co-ordinates
of such a point if it lies in the :
(a) I quadrant
(b) II quadrant
(c) III quadrant
21. Plot the point P (2, –6) on graph paper and from
it draw PM and PN as perpendiculars to x-axis
and y-axis, respectively. Write the coordinates of
the points M and N.
22. See the figure and write the following:
(d) IV quadrant
16. Plot the points P (1, 0), Q (4, 0) and S (1, 3). Find
the coordinate of the point R such that PQRS is
a square.
17. In the figure, PQ is a line parallel to the y-axis at
a distance of 5 units. What are the coordinates of
the points P, Q, R and S?
(i) Co-ordinates of point A
(ii) Abscissa of point D
(iii) The point identified by the co-ordinate (5,4)
18. In figure, ABDC is a square.Find the co-ordinates
of points A and D.
(iv) Co-ordinates of point C.
23.
Plot the points A (3, 0), B (3, 3) and C (0, 3) in a
cartesian plane. Join OA, AB, BC and CO. Name
the figure so formed and write its one property.
24. Observe the figure and answer the following
:
19. A point lies on x-axis at a distance of 9 units from
y-axis. What are its coordinates? What will be its
coordinates if it lies on y-axis at a distance of
–9 units from x-axis?
20. In the figure, if D
ABC and D
ABD are equilateral,
then find the co-ordinates of points C and D.
(a) co-ordinate of B
(b) point identifed by the co-ordinate (–2,–3)
(c) abscissa of point D
(d) ordinate of point H
(e) points with the same abscissa
(f) points with the same ordinate
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25. Plot the points (2, 3), (–2, 3), (–2, –3) and
(2, –3) on a graph sheet. Join these points. Name
the figure obtained.Also, find the area of the figure
so obtained.
34. In the figure, D
PQR is an equilateral triangle with
coordinates of vertices Q and R as (–2, 0) and (2, 0).
Find the coordinates of the vertex P.
26. Plot the co-ordinates of the point :
(a) whose ordinate is –5 and which lies on y-axis
(b) which lies on x and y axes both.
(c) whose abscissa is 3 and which lies on x-axis
in Cartesian Plane.
27. Mark the points (0, 2), (3, 0), (–3, 0) and (0, –2) on
a graph.Join these points.Name the figure obtained
and find the area of the figure so obtained.
28. In the figure, D
ABC is an equilateral triangle with
coordinates of vertices B and C as (–4, 0) and
(4, 0) respectively. Find the coordinates of the
point A.
35. The following table gives the number of pairs of
shoes and their corresponding price. Plot these as
ordered pairs and join them. What type of graph
do you get ?
Number of pairs
of shoes
1
2
3
4
5
6
Corresponding prices
(in hundred of rupees)
5
10
15
20
25
30
36. In the figure, AOB is a triangle with co-ordinates
of A and O as (4, 0) and (0, 0) respectively.
AB = 5. Find the co-ordinates of B.
29. Plot the points (x, y) given in the following table
on the plane, choosing suitable units of distance
on the axes.
x
y
–2
8
–1
7
1
3
3
–1
0
2
–3
0
30. Plot the points (3, 2), (–2, 2), (–2, –2) and (3, –2)
in the cartesian plane. Join these points and name
the figure so formed.
31. Plot the points A (5, 5) and B (–5, 5) in cartesian
plane. Join AB,OA and OB.Name the figure so
obtained.
32. Plot the points A (6, 6), B (4, 4), C (–1, –1) in
the cartesian plane and show that the points are
collinear.
33. Mark the points (2, 2), (2, –2), (–2, –2) and
(–2, 2) on a graph paper and join these points.
Name the figure that you obtain. Also, find the
area of the figure so obtained.
37. The following table gives the number of pens and
their corresponding costs. Plot these as ordered
pairs and join them. What type of graph do you
get ?
Number of pens
Price in rupees
1
3
2
6
4
12
5
15
7
21
8
24
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38. In the figure, D
ABC is an equilateral triangle with
co-ordinate of B and C as B (1, 0) and C (5, 0).
Find the co-ordinate of vertex A.
39. In the figure, ABCD is a rectangle with length
6 cm and breadth 3 cm. O is the mid point of AB.
Find the co-ordinates of A, B, C and D.
40. In the figure, PQR is an equilateral triangle with
the co-ordinates of Q and R as (0, 4) and (0, – 4).
Find the co-ordinates of the vertex P.
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