PYQ Vault

Day 9: MH SSC Class 10 Geometry

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

  1. Question 1

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

    Q1(B)(2)
    In the following figure ∠MNP=90∘\angle MNP = 90^\circ, seg NQ⊥NQ \perp seg MPMP, MQ=9MQ = 9, QP=4QP = 4, find NQNQ.

  2. Question 2

    Trigonometry. Asked 2 times: Mar 2022, Mar 2025

    Q2(B)(5)
    If sin⁡θ=1161\sin\theta = \dfrac{11}{61}, find the value of cos⁡θ\cos\theta using a trigonometric identity.

  3. Question 3

    Circle. Asked 2 times: Mar 2022*, Jul 2024 (* = numbers or wording changed that year)

    Q2(A)(1)
    In the above figure, chord PQ and chord RS intersect at point T. Then complete the following activity to prove ∠STQ=12[m(arc SQ)+m(arc PR)]\angle STQ = \dfrac{1}{2}[m(\text{arc } SQ) + m(\text{arc } PR)].

  4. Question 4

    Co-ordinate Geometry. Asked 2 times: Mar 2022*, Jul 2024 (* = numbers or wording changed that year)

    Q1(A)(3)
    Seg AB is parallel to Y-axis and co-ordinates of point A are (1,3)(1, 3), then the co-ordinates of point B are ____.

    Tap an option to check your answer.

  5. Question 5

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

    Q1(B)(3)
    Find the value of sin⁡θ×cosec⁡θ\sin\theta \times \operatorname{cosec}\theta.