PYQ Vault

Day 1: MH SSC Class 10 Geometry

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

  1. Question 1

    Circle. Asked 5 times: Mar 2016, Mar 2018, Mar 2020, Mar 2025, Mar 2026

    Q3(B)(1)
    Prove that: The tangent segments drawn from an external point to the circle are congruent.

  2. Question 2

    Circle. Asked 5 times: Mar 2018*, Mar 2020*, Mar 2024*, Jul 2024*, Jul 2025 (* = numbers or wording changed that year)

    Q1(A)(2)
    Two circles of radii 5.5 cm and 4.2 cm touch each other externally then distance between their centres is ________.

    Tap an option to check your answer.

  3. Question 3

    Circle. Asked 4 times: Mar 2017, Mar 2022, Jul 2024, Jun 2026

    Q3(B)(2)
    Prove that, opposite angles of a cyclic quadrilateral are supplementary.

  4. Question 4

    Trigonometry. Asked 4 times: Mar 2019, Mar 2020, Jul 2024*, Mar 2026* (* = numbers or wording changed that year)

    Q2(A)(2)
    If sec⁡θ=257\sec\theta = \dfrac{25}{7}, complete the activity to find the value of tan⁡θ\tan\theta.

  5. Question 5

    Mensuration. Asked 4 times: Mar 2023*, Mar 2024, Jul 2024*, Jul 2025 (* = numbers or wording changed that year)

    Q2(B)(2)
    Find surface area of sphere of radius 7 cm.