PYQ Vault

Day 10: MH SSC Class 10 Geometry

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

  1. Question 1

    Pythagoras Theorem. Asked 2 times: Mar 2019, Mar 2024

    Q3(B)(3)
    Seg PM is a median of △PQR\triangle PQR, PM=9PM = 9 and PQ2+PR2=290PQ^2 + PR^2 = 290. Then find QR.

  2. Question 2

    Circle. Asked 2 times: Mar 2019, Mar 2023

    Q3(B)(2)
    Prove that, "Angles inscribed in the same arc are congruent."

  3. Question 3

    Trigonometry. Asked 2 times: Mar 2022*, Mar 2023 (* = numbers or wording changed that year)

    Q2(A)(2)
    Show that cot⁡θ+tan⁡θ=csc⁡θ×sec⁡θ\cot\theta + \tan\theta = \csc\theta \times \sec\theta.

  4. Question 4

    Circle. Asked 2 times: Mar 2016*, Mar 2018 (* = numbers or wording changed that year)

    Q3(ii)
    In the following figure, ray PAPA is tangent to the circle at AA and PBCPBC is a secant. If AP=18AP = 18, BP=10BP = 10, then find BCBC.

  5. Question 5

    Mensuration. Asked 2 times: Mar 2016, Mar 2018

    Q1(vi)
    Using Euler's formula, find VV, if E=30E = 30, F=12F = 12.