PYQ Vault

Day 7: MH SSC Class 10 Geometry

5 questions. Try each one first, then open its answer.

  1. Question 1

    Pythagoras Theorem. Asked 2 times: Mar 2024, Mar 2026

    Q1(B)(2)
    Find the side of a square if its diagonal is 10210\sqrt{2} cm.

  2. Question 2

    Similarity. Asked 2 times: Mar 2020, Mar 2026

    Q4(3)
    In △ABC\triangle ABC, A-X-B and A-Y-C is such that segment XY ∥\parallel side BC. Segment XY divides △ABC\triangle ABC in two equal areas, then find BXAB\dfrac{BX}{AB}.

  3. Question 3

    Trigonometry. Asked 2 times: Mar 2024*, Mar 2026 (* = numbers or wording changed that year)

    Q2(B)(5)
    Prove that: sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1.

  4. Question 4

    Co-ordinate Geometry. Asked 2 times: Mar 2020, Jul 2025

    Q2(B)(4)
    Find the co-ordinates of midpoint of the segment joining the points P(22,20)P(22, 20) and Q(0,16)Q(0, 16).

  5. Question 5

    Pythagoras Theorem. Asked 2 times: Mar 2020, Jul 2025

    Q1(B)(1)
    Find the diagonal of square whose side is 10 cm.