Coordinate Geometry — Class 10 Maths MCQ with Answers (2026-27)

Updated 23 August 2026 · checked against the CBSE 2026-27 syllabus

8 objective questions on Coordinate Geometry, every one checked against the CBSE 2026-27 syllabus. Pick an option and the correct answer is shown straight away, with your marks running at the top.

Coordinate Geometry MCQ questions with answers

1. In order to conduct Sports Day activities, lines have been drawn with chalk powder at a distance of 1 m each in a rectangular ground ABCD. 100 flowerpots have been placed at a distance of 1 m from each other along AD. Niharika runs ¼ the distance AD on the 2nd line and posts a green​ flag. Preet‌ runs ⅕ the distance AD on the eighth line and posts a red flag. Find the position of the green flag.
   1. (2, 25)
   2. (2, 0.25)
   3. (25, 2)
   4. (0, −25)

   Answer: a) (2, 25)

   The 2nd line gives x = 2. She runs ¼ of the 100 m along AD, so y = 25. The flag is at (2, 25).

2. Find the position‌ of the‌ red flag.
   1. (8, 0)
   2. (20, 8)
   3. (8, 20)
   4. (8, 0.2)

   Answer: c) (8, 20)

   The eighth line gives x = 8, and ⅕ of 100 m gives y = 20, so the flag is at (8, 20).

3. What is the​ distance between​ both the flags?
   1. √41
   2. √11
   3. √61
   4. √51

   Answer: c) √61

   Distance = √[(8−2)² + (20−25)²] = √(36 + 25) = √61.

4. If Rashmi has to‌ post a​ blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?
   1. (5, 22.5)
   2. (10, 22)
   3. (2, 8.5)
   4. (2.5, 20)

   Answer: a) (5, 22.5)

   Halfway means the midpoint: ((2+8)/2, (25+20)/2) = (5, 22.5).

5. If Joy has​ to post‌ a flag at one-fourth distance from the green flag on the line segment joining the green and red flags, where should he post his flag?
   1. (3.5, 24)
   2. (0.5, 12.5)
   3. (2.25, 8.5)
   4. (25, 20)

   Answer: a) (3.5, 24)

   One-fourth of the way divides the segment 1:3, giving ((1×8 + 3×2)/4, (1×20 + 3×25)/4) = (3.5, 23.75). Note the printed option rounds y to 24; 23.75 is the exact value.

6. Class X students have been allotted a rectangular plot ABCD, with saplings planted along‌ the boundary‌ 1 m apart. There is a triangular grassy lawn PQR in the plot. Taking A as origin, find the coordinates of P.
   1. (4, 6)
   2. (6, 4)
   3. (0, 6)
   4. (4, 0)

   Answer: a) (4, 6)

   Counting from A as origin, P is 4 m along and 6 m up, so P is (4, 6).

7. What will be the coordinates of R,​ if C​ is the origin?
   1. (8, 6)
   2. (3, 10)
   3. (10, 3)
   4. (0, 6)

   Answer: c) (10, 3)

   Shifting the origin to C reverses the direction of measurement. Measured from C, R sits at (10, 3).

8. What will be the coordinates of Q, if‌ C is​ the origin?
   1. (6, 13)
   2. (−6, 13)
   3. (−13, 6)
   4. (13, 6)

   Answer: d) (13, 6)

   Measured from C as origin, Q is 13 m in the x-direction and 6 m in the y-direction, giving (13, 6).