PYQ Vault

Day 11: MH SSC Class 10 Geometry

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

  1. Question 1

    Pythagoras Theorem. Asked 2 times: Mar 2017, Mar 2018

    Q1(iii)
    Find the length of the altitude of an equilateral triangle with side 66 cm.

  2. Question 2

    Similarity. Asked 2 times: Mar 2016, Mar 2018

    Q1(i)
    △DEF∼△MNK\triangle DEF \sim \triangle MNK. If DE=5DE = 5 and MN=6MN = 6, then find the value of A(△DEF)A(△MNK)\dfrac{A(\triangle DEF)}{A(\triangle MNK)}.

  3. Question 3

    Geometric Constructions. This type asked 7 times: Mar 2016, Mar 2022, Mar 2024, Jul 2024, Mar 2025, Jul 2025, Mar 2026. This one: Mar 2026

    Q4(1)
    △ABC∼△ADE\triangle ABC \sim \triangle ADE. In △ABC\triangle ABC, AB=6.3AB = 6.3 cm, ∠CAB=50∘\angle CAB = 50^\circ, AC=5.6AC = 5.6 cm and ABAD=75\dfrac{AB}{AD} = \dfrac{7}{5}. Construct △ADE\triangle ADE.

  4. Question 4

    Similarity. This type asked 7 times: Mar 2016, Mar 2019, Mar 2022, Mar 2023, Mar 2024, Jul 2024, Mar 2026. This one: Mar 2026

    Q1(B)(1)
    The ratio of corresponding sides of similar triangles is 3:53 : 5, then find the ratio of their areas.

  5. Question 5

    Geometric Constructions. This type asked 6 times: Mar 2017, Mar 2018, Mar 2019, Mar 2020, Jul 2024, Mar 2026. This one: Mar 2026

    Q3(B)(2)
    Draw a circle with centre O and radius 3.53.5 cm, take a point P at a distance 5.75.7 cm from the centre. Draw tangents to the circle from point P.