PYQ Vault

Day 18: MH SSC Class 10 Geometry

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

  1. Question 1

    Circle. This type asked 3 times: Mar 2018, Mar 2020, Mar 2022. This one: Mar 2022

    Q1(A)(ii)
    AP is a tangent at A drawn to the circle with centre O from an external point P. OP=12OP = 12 cm and ∠OPA=30∘\angle OPA = 30^\circ, then the radius of the circle is ______.

    Tap an option to check your answer.

  2. Question 2

    Geometric Constructions. This type asked 3 times: Mar 2016, Mar 2019, Mar 2022. This one: Mar 2022

    Q2(B)(iii)
    Draw a circle of radius 3.2 cm and centre 'O'. Take any point P on it. Draw a tangent to the circle through point P using the centre of the circle.

  3. Question 3

    Co-ordinate Geometry. This type asked 3 times: Mar 2016, Mar 2017, Mar 2018. This one: Mar 2018

    Q3(v)
    Write the equation of the line passing through A(−2,−3)A(-2, -3) and B(−4,7)B(-4, 7) in the form ax+by+c=0ax + by + c = 0.

  4. Question 4

    Co-ordinate Geometry. This type asked 2 times: Mar 2022, Jul 2025. This one: Mar 2022

    Q3(A)(ii)
    Complete the following activity to find the co-ordinates of point P which divides seg AB in the ratio 3:13 : 1 where A(4,−3)A(4, -3) and B(8,5)B(8, 5).

  5. Question 5

    Mensuration. This type asked 2 times: Jul 2024, Jul 2025. This one: Jul 2025

    Q2(B)(5)
    Find the volume of a cone if radius of its base is 7 cm and its perpendicular height is 15 cm.