PYQ Vault

Day 46: MH SSC Class 10 Geometry

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

  1. Question 1

    Mensuration. Asked once: Mar 2018

    Q5(iii)
    If VV is the volume of a cuboid of dimensions a×b×ca \times b \times c and SS is its surface area, then prove that 1V=2S(1a+1b+1c)\dfrac{1}{V} = \dfrac{2}{S}\left(\dfrac{1}{a} + \dfrac{1}{b} + \dfrac{1}{c}\right).

  2. Question 2

    Pythagoras Theorem. Asked once: Jul 2024

    Q5(1)
    The diameter of circular garden is 13 meter. The distance between two gates of garden is 13 meter. An electric pole is to be erected on the circumference of the garden such that the difference between distance of the pole from each gate is 7 meter. Can such pole be erected? If yes, find the distance of the pole from each gate.

  3. Question 3

    Similarity. Asked once: Mar 2024

    Q3(B)(4)
    Prove that: 'If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the remaining sides in the same proportion.'

  4. Question 4

    Circle. Asked once: Mar 2025

    Q2(B)(3)
    In the following figure, a circle with centre D touches the sides of ∠ACB\angle ACB at A and B. If ∠ACB=52∘\angle ACB = 52^\circ, find the measure of ∠ADB\angle ADB.

  5. Question 5

    Co-ordinate Geometry. Asked once: Mar 2019

    Solve the following questions (Any four):
    Q1(A)(iv)
    From the given number line, find d(A, B).