PYQ Vault

Day 42: MH SSC Class 10 Geometry

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

  1. Question 1

    Geometric Constructions. Asked once: Mar 2022

    Q5(ii)
    Construct two concentric circles with centre O with radii 3 cm and 5 cm. Construct a tangent to the smaller circle from any point A on the larger circle. Measure and write the length of the tangent segment. Calculate the length of the tangent segment using Pythagoras theorem.

  2. Question 2

    Mensuration. Asked once: Jul 2024

    Q3(A)(2)
    A cylinder is having radius 7 cm and height 21 cm. Complete the following activity to calculate its volume and circumference of its base.

  3. Question 3

    Pythagoras Theorem. Asked once: Jul 2025

    Draw right-angled △ABC\triangle ABC of lengths of sides are 3 cm, 4 cm and 5 cm. Draw median on the hypotenuse of △ABC\triangle ABC. Then:
    Q5(1)(ii)
    By obeserving lengths of median and hypotenuse write your observations.

  4. Question 4

    Similarity. Asked once: Jul 2025

    Q4(1)
    △ABC\triangle ABC has sides of length 4 cm, 5 cm and 6 cm while △PQR\triangle PQR has perimeter of 90 cm. If △ABC\triangle ABC is similar to △PQR\triangle PQR, then find the length of corresponding sides of △PQR\triangle PQR.

  5. Question 5

    Trigonometry. Asked once: Mar 2022

    Q1(B)(iv)
    If sin⁡θ=cos⁡θ\sin\theta = \cos\theta, then what will be the measure of angle θ\theta?