PYQ Vault

Day 8: MH SSC Class 10 Geometry

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

  1. Question 1

    Pythagoras Theorem. Asked 2 times: Mar 2018, Jul 2025

    Q3(B)(4)
    Prove that, 'In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of remaining two sides'.

  2. Question 2

    Circle. Asked 2 times: Mar 2019, Mar 2025

    Q1(A)(2)
    ∠ACB\angle ACB is an inscribed angle in a circle with centre O. If ∠ACB=65∘\angle ACB = 65^\circ, then what is the measure of its intercepted arc AXB?

    Tap an option to check your answer.

  3. Question 3

    Circle. Asked 2 times: Mar 2020*, Mar 2025 (* = numbers or wording changed that year)

    Q1(B)(4)
    In cyclic quadrilateral ABCD, m∠A=100∘m\angle A = 100^\circ, then find m∠Cm\angle C.

  4. Question 4

    Geometric Constructions. Asked 2 times: Mar 2020, Mar 2025

    Q3(B)(3)
    Draw a circle with radius 4.1 cm. Construct tangents to the circle from a point at a distance of 7.3 cm from the centre.

  5. Question 5

    Mensuration. Asked 2 times: Mar 2019, Mar 2025* (* = numbers or wording changed that year)

    Q1(A)(4)
    If the radius of a cone is 5 cm and its perpendicular height is 12 cm, then the slant height is ________.

    Tap an option to check your answer.