Coordinate Geometry Class 9 Practice Paper 2 (2026-27) with Solutions

SUBJECT: MATHEMATICS	MAX. MARKS: 40
CLASS: IX	DURATION: 1½ hrs

General Instructions:

1. All questions are compulsory.
2. This question paper contains 20 questions divided into five Sections A, B, C, D and E.
3. Section A comprises 10 MCQs of 1 mark each. Section B comprises 4 questions of 2 marks each. Section C comprises 3 questions of 3 marks each. Section D comprises 1 question of 5 marks. Section E comprises 2 Case Study Based Questions of 4 marks each.
4. There is no overall choice.
5. Use of calculators is not permitted.

SECTION – A

Questions 1 to 10 carry 1 mark each.

1. The point (−6, 4) lies in:
   (a) First quadrant    (b) Second quadrant    (c) Third quadrant    (d) Fourth quadrant
2. Which point lies on the y-axis?
   (a) (7, 0)    (b) (0, −9)    (c) (3, 5)    (d) (−2, 6)
3. Which point is equidistant from the x-axis and y-axis?
   (a) (2, 5)    (b) (−4, −4)    (c) (6, 1)    (d) (0, 3)
4. If a point is 5 units away from the origin along the y-axis, it can be:
   (a) (5, 0) or (−5, 0)    (b) (0, 5) or (0, −5)    (c) (2, 2) or (−2, −2)    (d) (4, 4) or (−4, −4)
5. Which point lies in the fourth quadrant?
   (a) (−3, 7)    (b) (5, −2)    (c) (−6, −1)    (d) (4, 8)
6. The distance between points (3, −5) and (3, 6) is:
   (a) 9    (b) 10    (c) 11    (d) 12
7. Which point is the midpoint of (−4, 6) and (2, 0)?
   (a) (−1, 3)    (b) (−2, 4)    (c) (1, 2)    (d) (0, 3)
8. Which point lies in the third quadrant?
   (a) (5, 2)    (b) (−7, −3)    (c) (−2, 6)    (d) (8, −4)
9. Assertion (A): Distance between (2, 5) and (2, 13) is 8.
   Reason (R): If two points have the same x-coordinate, the distance equals the difference of the y-coordinates.
   (a) Both A and R are true and R is the correct explanation of A.
   (b) Both A and R are true but R is not the correct explanation of A.
   (c) A is true but R is false.
   (d) A is false but R is true.
10. Assertion (A): Midpoint of (3, 7) and (9, 1) is (6, 4).
    Reason (R): Midpoint formula is (x₁+x₂)/2 , (y₁+y₂)/2.
    (a) Both A and R are true and R is the correct explanation of A.
    (b) Both A and R are true but R is not the correct explanation of A.
    (c) A is true but R is false.
    (d) A is false but R is true.

SECTION – B

Questions 11 to 14 carry 2 marks each.

11. The coordinates of two villages are A(4, 6) and B(−2, 8). Find the distance between the two villages.
12. A garden has two gates at P(3, 2) and Q(9, 10). Find the distance a gardener walks along the straight path joining the gates.
13. Find the point on the x-axis which is equidistant from (3, −4) and (−3, 8).
14. Find the value(s) of y such that the distance between P(1, −2) and Q(9, y) is 10 units.

SECTION – C

Questions 15 to 17 carry 3 marks each.

15. Check whether the points A(1, 2), B(4, 6), C(7, 10) are collinear.
16. Show that the triangle with vertices A(2, 3), B(6, 3), C(6, 7) is right-angled.
17. Find the midpoint of A(−3, 5) and B(7, 11), and verify that the midpoint divides the line segment equally.

SECTION – D

Question 18 carries 5 marks.

18. Show that the points A(2, 2), B(6, 2), C(6, 6), D(2, 6) are the vertices of a square.

SECTION – E (Case Study Based Questions)

Questions 19 to 20 carry 4 marks each.

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