PYQ Vault

Day 41: MH SSC Class 10 Geometry

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

  1. Question 1

    Pythagoras Theorem. Asked once: Jul 2025

    Draw right-angled △ABC\triangle ABC of lengths of sides are 3 cm, 4 cm and 5 cm. Draw median on the hypotenuse of △ABC\triangle ABC. Then:
    Q5(1)(i)
    Measure the length of median and write it.

  2. Question 2

    Similarity. Asked once: Jun 2026

    Q4(1)
    In the following figure, line ll intersects side AB and side AC of △ABC\triangle ABC in points P and Q respectively. Show that A(△APQ)A(△ABC)=AP×AQAB×AC\dfrac{A(\triangle APQ)}{A(\triangle ABC)} = \dfrac{AP \times AQ}{AB \times AC}.

  3. Question 3

    Trigonometry. Asked once: Mar 2024

    Q4(1)
    If 1sin⁡2θ−1cos⁡2θ−1tan⁡2θ−1cot⁡2θ−1sec⁡2θ−1cosec⁡2θ=−3\dfrac{1}{\sin^2\theta} - \dfrac{1}{\cos^2\theta} - \dfrac{1}{\tan^2\theta} - \dfrac{1}{\cot^2\theta} - \dfrac{1}{\sec^2\theta} - \dfrac{1}{\operatorname{cosec}^2\theta} = -3, then find the value of θ\theta.

  4. Question 4

    Circle. Asked once: Jun 2026

    Q1(A)(2)
    What is the measure of semicircular arc of a circle?

    Tap an option to check your answer.

  5. Question 5

    Co-ordinate Geometry. Asked once: Jul 2024

    Q5(2)
    The line x−6y+11=0x - 6y + 11 = 0 bisects the segment joining the points (8,−1)(8, -1) and (0,k)(0, k), then find the value of kk.