QUESTION BANK
(2025-26)
CLASS : 9 COORDINATE GEOMETRY MONTH: APRIL
SUBJECT: MATHEMATICS
1. The perpendicular distance of the point A (m, 2n) from the x-axis is 6 units. Given that
m < 0 and n > 0, which of these represents the point B with coordinates (n + 1, m)?
(a) (b)
(c) (d)
2. A point P (a, b) is such that: a < 0, b > 0. In which quadrant does the point P lie?
3. Vikram wants to find the area of the figure formed by coordinates A (−4, 4), B (3,4),
C (7, −5) and D (−7, −5)
4. A mirror is placed along x- axis. A lamp post is situated at P (−4, 8), find the coordinates
of the point where its image will be formed.
5. Find the length of the diagonals and sides of a kite whose vertices have coordinates
A (0, −4), B (6, 0), C (0, 8) and D (−6, 0).
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6. 𝑏
If A(a−6, b+6) is the mirror image of B(3a, ) along y-axis, find the value of a and b.
2
7. Find the coordinates of points R, L, S and T.
Assertion (A) - The distance of the Point (2, 3) from y- axis is 3 units.
8. Reason(R) - The magnitude or absolute value of the point’s y-coordinate is its distance
from the x-axis.
a. Both Assertion ( A)and Reason ( R ) are true and Reason (R ) is correct explanation of
assertion
b. Both Assertion ( A)and Reason ( R ) are true and Reason (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.
9. If the points A (2, 0), B (−6, 0) and C (3, a – 3) lie on the x-axis, then what is the value
of a?
10. In the given figure, ABCD is a rectangle with length 6 cm and breadth 3 cm. O is the
mid-point of AB. Find the coordinates of A, B, C and D.
11. The points (other than the origin) whose abscissa is equal to the ordinate lie in
a) Quadrant II only
b) Quadrant I and II
c) Quadrant I & III
1. d) Quadrant I only
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