PYQ Vault

Day 24: MH SSC Class 10 Geometry

5 questions (7 parts). Try each one first, then open its answer.

  1. Question 1

    Mensuration. Asked once: Jul 2025 (same type asked 4 times)

    Q1(A)(4)
    The volume of a cube of side 2 cm is ________.

    Tap an option to check your answer.

  2. Question 2

    Mensuration. Asked once: Mar 2024 (same type asked 4 times)

    Q2(A)(3)
    In the figure, □ABCD\square ABCD is a square and a circle is inscribed in it so that all sides of the square touch the circle. If AB=14AB = 14 cm, complete the following activity to find the area of the shaded region.

  3. Question 3

    Pythagoras Theorem. Asked once: Mar 2022 (same type asked 4 times)

    Q1(B)(i)
    In △ABC\triangle ABC, ∠ABC=90∘\angle ABC = 90^\circ, ∠BAC=∠BCA=45∘\angle BAC = \angle BCA = 45^\circ. If AC=92AC = 9\sqrt{2}, then find the value of AB.

  4. Question 4 (case study, 3 parts)

    Trigonometry. Asked once: Mar 2025 (same type asked 4 times)

    Taking θ=30∘\theta = 30^\circ, verify the following trigonometric identities:
    Q5(2)(i)
    sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1
    Q5(2)(ii)
    1+tan⁡2θ=sec⁡2θ1 + \tan^2\theta = \sec^2\theta
    Q5(2)(iii)
    1+cot⁡2θ=cosec⁡2θ1 + \cot^2\theta = \operatorname{cosec}^2\theta

  5. Question 5

    Co-ordinate Geometry. Asked once: Mar 2024 (same type asked 4 times)

    Q2(B)(4)
    Find the slope of the line passing through the points A(2,3)A(2, 3) and B(4,7)B(4, 7).