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🧾 CBSE · Class 10

Class 10 Maths: Coordinate Geometry Worksheet (with Answers)

A free, print-ready worksheet on Coordinate Geometry for CBSE Class 10 Maths, with a matching answer key. Use the sample below, or build your own with the exact mix of questions you need — no login, no ads.

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Sample worksheet

7 of 18 questions from this chapter. Generate your own for the full set, more variations, and a clean print layout.

  1. 1. The distance of the point (3, 4) from the origin is:
    • (a) 4
    • (b) 7
    • (c) 3
    • (d) 5
  2. 2. The distance formula between (x₁, y₁) and (x₂, y₂) is:
    • (a) (x₂ − x₁) + (y₂ − y₁)
    • (b) √(x₁x₂ + y₁y₂)
    • (c) (x₂ − x₁)² + (y₂ − y₁)²
    • (d) √[(x₂ − x₁)² + (y₂ − y₁)²]
  3. 3. The midpoint of (0, 0) and (4, 6) is:
    • (a) (4, 6)
    • (b) (0, 0)
    • (c) (2, 3)
    • (d) (3, 2)
  4. 4. The midpoint of A(−2, 3) and B(2, −3) is:
    • (a) (−2, −3)
    • (b) (0, 0)
    • (c) (2, 3)
    • (d) (1, 1)
  5. 5. Find the distance between (2, 3) and (5, 7).
  6. 6. What is the midpoint of (1, 1) and (5, 5)?
  7. 7. Show that the points A(1, 7), B(4, 2), C(−1, −1) and D(−4, 4) are the vertices of a square.
View answers
  1. 1. (d) 5 — √(9 + 16) = 5.
  2. 2. (d) √[(x₂ − x₁)² + (y₂ − y₁)²] — Take the square root of the sum of the squared differences.
  3. 3. (c) (2, 3) — ((0+4)/2, (0+6)/2) = (2, 3).
  4. 4. (b) (0, 0) — ((−2+2)/2, (3−3)/2) = (0, 0).
  5. 5. √[(5−2)² + (7−3)²] = √(9 + 16) = √25 = 5.
  6. 6. (3, 3).
  7. 7. Compute all four sides: AB = BC = CD = DA = √34 (each from the distance formula), and the diagonals AC = BD = √68. Equal sides and equal diagonals mean ABCD is a square.
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FAQ

Is this Class 10 Maths worksheet on Coordinate Geometry free?
Yes — it is completely free, with no login and no ads. You can print it or save it as a PDF, and generate unlimited variations.
Does the Coordinate Geometry worksheet come with answers?
Yes. Every worksheet has a separate answer key with the correct answers, short explanations and marks, so it is ready for marking.
Can I choose how many questions and which types?
Yes. Open the generator for this chapter and set how many MCQs, short, long and HOTS questions you want; totals and marks update live, and you can swap any single question.
Which board and class is this for?
This worksheet is aligned to CBSE Class 10 Maths, chapter “Coordinate Geometry”.