PYQ Vault

Day 40: MH SSC Class 10 Geometry

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

  1. Question 1

    Similarity. Asked once: Mar 2017 (same type asked 5 times)

    Q1(i)
    In the following figure, seg BE ⊥\perp seg AB and seg BA ⊥\perp seg AD. If BE = 6 and AD = 9, find A(△ABE)A(△BAD)\dfrac{A(\triangle ABE)}{A(\triangle BAD)}.

  2. Question 2

    Circle. Asked once: Jun 2026

    Q1(B)(3)
    In the following figure, ray PQ touches the circle at point Q, PQ=12PQ = 12, PR=9PR = 9. Find PS.

  3. Question 3

    Co-ordinate Geometry. Asked once: Jun 2026

    Q2(B)(4)
    Find the distance between the points P(−1,1)P(-1, 1) and Q(5,−7)Q(5, -7).

  4. Question 4

    Geometric Constructions. Asked once: Mar 2024

    Q4(3)
    Draw a circle with centre O and radius 3 cm. Draw tangent segments PA and PB through a point P outside the circle such that ∠APB=70∘\angle APB = 70^\circ.

  5. Question 5

    Mensuration. Asked once: Mar 2026

    Q4(2)
    Surface area of a sphere and total surface area of a cube are same. Show that the ratio of the volume of the sphere to that of the cube is 6:π\sqrt{6} : \sqrt{\pi}.