PYQ Vault

Day 43: MH SSC Class 10 Geometry

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

  1. Question 1

    Circle. Asked once: Mar 2026

    Q5(1)
    Seg PQ is a chord of a circle. Arc PXQ is a major arc and arc PYQ is a minor arc. ∠POQ\angle POQ is the central angle of the circle. (a) Draw the figure from the given information. (b) Find the measure of ∠PXQ\angle PXQ, ∠PYQ\angle PYQ and add m∠PXQ, m∠PYQm\angle PXQ,\ m\angle PYQ. (c) Find the measure of ∠POQ\angle POQ. Write the relation between ∠PXQ\angle PXQ and ∠POQ\angle POQ.

  2. Question 2

    Co-ordinate Geometry. Asked once: Mar 2022

    Q4(iii)
    Find the co-ordinates of centroid of a triangle if points D(−7,6)D(-7, 6), E(8,5)E(8, 5) and F(2,−2)F(2, -2) are the mid-points of the sides of that triangle.

  3. Question 3

    Geometric Constructions. Asked once: Mar 2019

    Solve the following questions (Any two):
    Q1(B)(i)
    Draw seg AB of length 5.7 cm and bisect it.

  4. Question 4

    Mensuration. Asked once: Mar 2024

    Q4(2)
    A cylinder of radius 12 cm contains water up to a height of 20 cm. A spherical iron ball is dropped into the cylinder and the water level rises by 6.75 cm. What is the radius of the iron ball?

  5. Question 5

    Pythagoras Theorem. Asked once: Mar 2025

    Q3(A)(2)
    Complete the activity to prove that the sum of the squares of the diagonals of a rhombus is equal to the sum of the squares of its sides. (□PQRS\square PQRS is a rhombus; diagonals PR and SQ intersect each other at point T.)