PYQ Vault

Day 15: MH SSC Class 10 Geometry

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

  1. Question 1

    Trigonometry. This type asked 4 times: Mar 2019, Mar 2022, Mar 2025, Jul 2025. This one: Jul 2025

    Q3(A)(1)
    If tan⁡θ=1\tan\theta = 1, then find the value of sin⁡θ+cos⁡θsec⁡θ+cosec⁡θ\dfrac{\sin\theta + \cos\theta}{\sec\theta + \operatorname{cosec}\theta} by completing the following activity.

  2. Question 2

    Co-ordinate Geometry. This type asked 4 times: Mar 2017, Mar 2019, Mar 2024, Jul 2024. This one: Jul 2024

    Q2(B)(5)
    Find the slope of the line passing through the points A(3,3)A(3, 3) and B(5,7)B(5, 7).

  3. Question 3

    Pythagoras Theorem. This type asked 4 times: Mar 2016, Mar 2019, Mar 2020, Mar 2023. This one: Mar 2023

    Q3(B)(1)
    In △ABC\triangle ABC, seg AP is a median. If BC=18BC = 18 and AB2+AC2=260AB^2 + AC^2 = 260, find AP.

  4. Question 4

    Mensuration. This type asked 3 times: Mar 2025, Jul 2025, Jun 2026. This one: Jun 2026

    Q3(B)(4)
    In the following figure if A(P-ABC)=154A(P\text{-}ABC) = 154 cm2^2, radius of the circle is 1414 cm, find: (a) m∠APCm\angle APC, (b) l(arc ABC)l(\text{arc ABC}).

  5. Question 5

    Co-ordinate Geometry. This type asked 3 times: Mar 2020, Mar 2023, Mar 2026. This one: Mar 2026

    Q2(B)(4)
    Find the co-ordinates of the midpoint of the line segment joining the points P(0,6)P(0, 6) and Q(12,20)Q(12, 20).