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Class 9–10 Maths: Coordinate geometry practice questions

Practise coordinate geometry for Classes 9 and 10. Try the 10-question quiz below and see each answer explained straight away, then read all 12 worked examples with answers underneath. Free, no sign-up.

Coordinate geometry: worked examples with answers

These Maths questions are generated, so a fresh set appears every time you press "Practise more questions". Here are some worked examples.

1. Find the distance between the points (5, 3) and (13, 18).

   1. A. 17 ✓
   2. B. 16
   3. C. 34
   4. D. 23

   Answer: 17. Distance = √(8² + 15²) = √289 = 17.

2. Find the distance between the points (−5, −1) and (5, 23).

   1. A. 26 ✓
   2. B. 27
   3. C. 25
   4. D. 52

   Answer: 26. Distance = √(10² + 24²) = √676 = 26.

3. Find the distance between the points (−4, 3) and (1, 15).

   1. A. 60
   2. B. 13 ✓
   3. C. 14
   4. D. 17

   Answer: 13. Distance = √(5² + 12²) = √169 = 13.

4. Find the distance between the points (5, 2) and (12, 26).

   1. A. 25 ✓
   2. B. 24
   3. C. 168
   4. D. 26

   Answer: 25. Distance = √(7² + 24²) = √625 = 25.

5. Find the distance between the points (−2, 3) and (1, 7).

   1. A. 12
   2. B. 7
   3. C. 5 ✓
   4. D. 4

   Answer: 5. Distance = √(3² + 4²) = √25 = 5.

6. Find the distance between the points (2, 5) and (10, 20).

   1. A. 23
   2. B. 17 ✓
   3. C. 34
   4. D. 120

   Answer: 17. Distance = √(8² + 15²) = √289 = 17.

7. Find the distance between the points (2, 5) and (7, 17).

   1. A. 13 ✓
   2. B. 60
   3. C. 14
   4. D. 26

   Answer: 13. Distance = √(5² + 12²) = √169 = 13.

8. Find the distance between the points (−3, 5) and (11, 53).

   1. A. 62
   2. B. 49
   3. C. 50 ✓
   4. D. 51

   Answer: 50. Distance = √(14² + 48²) = √2500 = 50.

9. Find the distance between the points (5, 0) and (12, 24).

   1. A. 168
   2. B. 26
   3. C. 31
   4. D. 25 ✓

   Answer: 25. Distance = √(7² + 24²) = √625 = 25.

10. Find the distance between the points (1, −3) and (8, 21).

    1. A. 168
    2. B. 26
    3. C. 25 ✓
    4. D. 31

    Answer: 25. Distance = √(7² + 24²) = √625 = 25.

11. Find the distance between the points (0, −1) and (14, 47).

    1. A. 62
    2. B. 100
    3. C. 50 ✓
    4. D. 672

    Answer: 50. Distance = √(14² + 48²) = √2500 = 50.

12. Find the distance between the points (−4, −4) and (3, 20).

    1. A. 24
    2. B. 25 ✓
    3. C. 168
    4. D. 31

    Answer: 25. Distance = √(7² + 24²) = √625 = 25.

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