PYQ Vault

Day 17: MH SSC Class 10 Geometry

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Pythagoras Theorem. This type asked 3 times: Mar 2019, Mar 2024, Mar 2025. This one: Mar 2024

    Q1(A)(1)
    Out of the dates given below, which date constitutes a Pythagorean triplet?

    Tap an option to check your answer.

  2. Question 2 (case study, 2 parts)

    Similarity. This type asked 3 times: Mar 2020, Mar 2023, Mar 2025. This one: Mar 2025

    In the following figure DE∥BCDE \parallel BC, then:
    Q4(1)(i)
    If DE=4DE = 4 cm, BC=8BC = 8 cm, A(△ADE)=25A(\triangle ADE) = 25 cm2^2, find A(△ABC)A(\triangle ABC).
    Q4(1)(ii)
    If DE:BC=3:5DE : BC = 3 : 5, then find A(△ADE):A(□DBCE)A(\triangle ADE) : A(\square DBCE).

  3. Question 3

    Co-ordinate Geometry. This type asked 3 times: Mar 2019, Mar 2023, Jul 2024. This one: Jul 2024

    Q3(B)(3)
    Show that points P(−2,3)P(-2, 3), Q(1,2)Q(1, 2), R(4,1)R(4, 1) are collinear.

  4. Question 4

    Pythagoras Theorem. This type asked 3 times: Mar 2019, Mar 2020, Jul 2024. This one: Jul 2024

    Q2(B)(4)
    In the above figure, ∠PQR=90∘\angle PQR = 90^\circ, seg QN⊥QN \perp seg PR, PN=9PN = 9, NR=16NR = 16, find QN.

  5. Question 5

    Mensuration. This type asked 3 times: Mar 2016, Mar 2019, Mar 2024. This one: Mar 2019

    Solve the following questions (Any two):
    Q2(B)(iii)
    Find the surface area of a sphere of radius 3.5 cm.