PYQ Vault

Day 30: MH SSC Class 10 Geometry

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

  1. Question 1

    Geometric Constructions. Asked once: Mar 2025 (same type asked 7 times)

    Q4(2)
    △ABC∼△PQR\triangle ABC \sim \triangle PQR. In △ABC\triangle ABC, AB=3.6AB = 3.6 cm, BC=4BC = 4 cm and AC=4.2AC = 4.2 cm. The corresponding sides of △ABC\triangle ABC and △PQR\triangle PQR are in the ratio 2:32 : 3. Construct △ABC\triangle ABC and △PQR\triangle PQR.

  2. Question 2

    Similarity. Asked once: Mar 2024 (same type asked 7 times)

    Q1(B)(1)
    If △ABC∼△PQR\triangle ABC \sim \triangle PQR and AB:PQ=2:3AB : PQ = 2 : 3, then find the value of A(△ABC)A(△PQR)\dfrac{A(\triangle ABC)}{A(\triangle PQR)}.

  3. Question 3

    Geometric Constructions. Asked once: Mar 2019 (same type asked 6 times)

    Solve the following questions (Any three):
    Q4(iii)
    Draw a circle with radius 4.2 cm. Construct tangents to the circle from a point at a distance of 7 cm from the centre.

  4. Question 4

    Mensuration. Asked once: Mar 2023 (same type asked 5 times)

    Q4(3)
    An ice-cream pot has a right circular cylindrical shape. The radius of the base is 12 cm and the height is 7 cm. This pot is completely filled with ice-cream. The entire ice-cream is given to students in the form of right circular ice-cream cones having diameter 4 cm and height 3.5 cm. If each student is given one cone, how many students can be served?

  5. Question 5

    Similarity. Asked once: Mar 2025 (same type asked 5 times)

    Q1(B)(1)
    In the following figure △ABC\triangle ABC, B–D–CB\text{–}D\text{–}C and BD=7BD = 7, BC=20BC = 20, then find A(△ABD)A(△ABC)\dfrac{A(\triangle ABD)}{A(\triangle ABC)}.