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COORDINATE GEOMETRY
1. If the coordinates of a point are (0,-4), then it lies in:
a. X-axis b. Y-axis c. At origin d. Between x-axis and y-axis
2. If the coordinates of a point are (-3,4), then it lies in:
a. First quadrant b. Second quadrant c. Third quadrant d. Fourth
quadrant
3. If P(-2,3), Q(5,0), R(0,2) and S(-4,0) are plotted on the graph paper, then the points on
the x-axis are
a. P & Q b. Q & R c. R & S d. Q & S
4. The perpendicular distance of the point P(7,5) from the y-axis is
a. 5 b. 12 c. 7 d. 2
5. Write the coordinates of a point whose abscissa is 7 and it lies on the x-axis.
6. In which quadrant does the point (-7,4) lie
a. IV b. III c. II d. I
7. Abscissa of a point is positive in
a. I and II quadrant
b. I and IV quadrant
c. I quadrant only
d. II quadrant only
8. The point at which two ordinals axis meet is called the
a. Abscissa b. Ordinates c. Coordinates d. Origin
9. The point of whose abscissa is -3 and ordinate 2 lies in :
a. I Quadrant b. II Quadrant c. III Quadrant d. IV Quadrant
10. Ordinate of all points on the y-axis is :
a. 1 b. 2 c. any number d. 0
11. Any point on the y-axis of the form of
a. (x,y) b. (0,y) c. (x,0) d. (y,y)
12. Abscissa of a point is positive in
a. I and II quadrants
b. I and IV quadrants
c. I quadrant only
d. II quadrant only
13. If the x-coordinate is 0 and ordinate is -5, then this point always lies on
a. On the y-axis
b. On the x-axis
c. In the quadrant I
d. In the quadrant IV
14. Any point on the x-axis is of the form of
a. (x,y) b. (0,y) c. (x,0) d. (x,x)
15. In which quadrant does the point (5,-7) lie?
a. First quadrant b. Second quadrant c. Third quadrant d. Fourth quadrant
16. POINT (-3,5) lies in the
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a. First quadrant c) third quadrant
b. Second quadrant d) fourth quadrant
17. Abscissa of all the points on the –axis is
a. 0 b) 1 c)2 d) Any number
18. The point at which the two coordinate axes meet is called the
a. Abscisa b. Ordinate c. Origin d. Quadrant
19. The point whose ordinate is 4 and which lies on Y-axis is
a. (4,0) b. (0,4) c. (1,4) d. (4,2)
20. The point which lies on the y-axis at a distance of 5 units in the negative direction of the
y-axis is
a. (5,0) b. (0,5) c. (-5,0) d. (0,-5)
21. The section formed by horizontal and vertical lines determining the position of the point
in a cartesian plane is called:
a. Origin b. X-axis c. Y-axis d. Quadrants
22. Point (0,8) lies
a. In II quadrant b. In IV quadrant c. On the x-axis d. On the
y-axis
23. .In which quadrant does the point (-7,-4) lie:
a. IV b. III c. II d. I
24. Abscissa of a point is positive in
a. I and II quadrant b. I and IV quadrant c. I quadrant only d. II
quadrant only
25. The image of a point under reflection in the x-axis has the coordinate (7,-3). The
coordinate of P are :-
a. (7,3) b. (-7,3) c. (-7,-3) d. (-3,7)
26. The distance of the point P (-6,8) from the origin is :
a. 6 units b. 8 units c. 10 units d. 14 units
27. Determine the quadrants or axes in which the following points lie.
a. (-2,-4) b. (1,-2) c. (-1,0) d. (-2,4)
28. The quadrants, where the ordinate and abscissa have different signs are :
a. I and II b. I and III c. II and III d. II and IV
29. Write the answer of each of the following questions:
a. What is the name of horizontal and vertical lines drawn to determine the position
of any point in the Cartesian plane?
b. What is the name of each part of the plane formed by these two lines?
c. Write the name of the point where these two lines intersect.
d. Name of the points lie on the axes.
30. Locate the points (5,0), (0,5), (2,5), (5,-2), (-3,5), (-3,-5), (-2,4) and (6,1) in the Cartesian
plane. And find in which quadrant or on which axis lie.
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31. Write the coordinates of each of the points P, Q, R, S, T and O from the given figure.
32. Aditya is a Class IX student residing in a village. One day, he went to a city Hospital
along with his grandfather for a general checkup. From there he visited three places -
School, Library and Police Station. After returning to his village, he plotted a graph by
taking Hospital as origin and marked three places on the graph as per his direction of
movement and distance. The graph is shown below:
a. What are the coordinates of School?
a. (3,2) b. (2,3) c. (3,5) d. (5,3)
b. What are the coordinates of the Police Station?
a. (2,-1) b. (2,1) c. (-2,-1) d. (-2,1)
c. Distance between school and police station:
a. 4 b. 3 c. 2 d. 1
d. What are the coordinates of the Library?
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a. (2,6) b. (2,-6) c. (6,-2) d. (6,2)
33. Write the following:
a. The coordinates of B.
b. The coordinates of C.
c. The point identified by the coordinates (–3, –5)
d. The point identified by the coordinates (2, – 4).
e. The abscissa of point D.
f. The ordinate of the point H.
g. The coordinates of the point L.
h. The coordinates of the point M.
34. Assertion (A): If the ordinate of a point is equal to its abscissa, then the point lies either
in the first quadrant or in the second quadrant
Reason (R): A point both of whose coordinates are negative will lie in the third
quadrant.
a. Both assertion (A) and reason (R) are true and (R) is the correct explanation of
assertion (A).
b. Both assertion (A) and reason (R) are true and (R) is not the correct explanation
of assertion (A).
c. Assertion (A) is true but reason (R) is false.
d. Assertion (A) is false but reason (R) is true.
35. Assertion: The point p(-6,-4) lies in quadrant (iii)
Reason: The signs of points in quadrant I, II, III and IV are respectively (+,+), (-,+),
(-,-) and (+,-) .
a. Both assertion (A) and reason (R) are true and (R) is the correct explanation of
assertion (A).
b. Both assertion (A) and reason (R) are true and (R) is not the correct explanation
of assertion (A).
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c. Assertion (A) is true but reason (R) is false.
d. Assertion (A) is false but reason (R) is true.
36. ASSERTION : The perpendicular distance of the point (3,-7) from the x-axis is 3.
REASON: The perpendicular distance of the point (x,y) from x-axis . 𝑦 | |
a. Both assertion (A) and reason (R) are true and (R) is the correct explanation of
assertion (A).
b. Both assertion (A) and reason (R) are true and (R) is not the correct explanation
of assertion (A).
c. Assertion (A) is true but reason (R) is false.
d. Assertion (A) is false but reason (R) is true.
37. In the given figure, ABC is an equilateral triangle, the coordinates of the vertices B and
C are (-3,0) and (3,0) respectively. Find the coordinates of vertex A.
38. Four friends Salma, Ritu, Ravi, and ANkur are standing in reference to a well situated at
the origin with the following respective coordinates: (2,4), (-2,4), (-2,-4) and 2(-4). By
plotting these points on a single paper: ANswer the following questions:
a. Name the figure obtained.
b. Find the perimeter of the figure so obtained.
c. Find the distance between Salma and Ritu
d. Ritu stands on which quadrant
39. The class IX students of a secondary school in Krishnanagar have been allotted a
rectangular plot of land for their gardening activity. Saplings of gulmohar are planted on
the boundary at a distance of 1m from each other. There is a lawn PQRS in the ground
as shown in the figure below.
