PYQ Vault

Day 12: MH SSC Class 10 Geometry

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

  1. Question 1

    Mensuration. This type asked 5 times: Mar 2019, Mar 2020, Mar 2023, Mar 2025, Jun 2026. This one: Jun 2026

    Q4(3)
    Find the number of coins of 2.22.2 cm diameter and 0.20.2 cm thick, can be made by melting a metallic right circular cylinder of height 0.20.2 m and diameter 8.88.8 cm.

  2. Question 2

    Similarity. This type asked 5 times: Mar 2017, Mar 2018, Mar 2025, Jul 2025, Jun 2026. This one: Jun 2026

    Q1(B)(2)
    In the following figure, seg AE ⊥\perp seg BC, seg DF ⊥\perp line BC, AE=4AE = 4, DF=6DF = 6, then find A(△ABC)A(△DBC)\dfrac{A(\triangle ABC)}{A(\triangle DBC)}.

  3. Question 3

    Trigonometry. This type asked 5 times: Mar 2018, Mar 2019, Mar 2022, Jul 2025, Jun 2026. This one: Jun 2026

    Q2(A)(2)
    If sin⁡θ=2029\sin\theta = \dfrac{20}{29}, then complete the following activity to find cos⁡θ\cos\theta.

  4. Question 4

    Similarity. This type asked 5 times: Mar 2016, Mar 2017, Jul 2024, Jul 2025, Mar 2026. This one: Mar 2026

    Q2(B)(1)
    Find QP using the given information in the figure. (In △MNP\triangle MNP, Q lies on side MP, seg NQ bisects ∠MNP\angle MNP, MN=25MN = 25, MQ=14MQ = 14, NP=40NP = 40.)

  5. Question 5

    Trigonometry. This type asked 5 times: Mar 2018, Mar 2020, Mar 2022, Mar 2023, Mar 2026. This one: Mar 2022

    Q3(B)(iv)
    Show that: tan⁡A(1+tan⁡2A)2+cot⁡A(1+cot⁡2A)2=sin⁡A×cos⁡A.\dfrac{\tan A}{\left(1 + \tan^2 A\right)^2} + \dfrac{\cot A}{\left(1 + \cot^2 A\right)^2} = \sin A \times \cos A.