PYQ Vault

Day 21: MH SSC Class 10 Geometry

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

  1. Question 1

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

    Q4(2)
    △ABC∼△PBR\triangle ABC \sim \triangle PBR, BC=8BC = 8 cm, AC=10AC = 10 cm, ∠B=90∘\angle B = 90^\circ, BCBR=54\dfrac{BC}{BR} = \dfrac{5}{4}, then construct △PBR\triangle PBR.

  2. Question 2

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

    Q3(B)(4)
    If △PQR∼△LMN\triangle PQR \sim \triangle LMN, 9×A(△PQR)=16×A(△LMN)9 \times A(\triangle PQR) = 16 \times A(\triangle LMN) and QR=20QR = 20, then find MN.

  3. Question 3

    Geometric Constructions. Asked once: Jul 2024 (same type asked 6 times)

    Q3(B)(2)
    Draw a circle with centre P and radius 3.5 cm. Take point Q at a distance 8 cm from the centre. Construct tangents to the circle from point Q.

  4. Question 4

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

    Q3(B)(4)
    How many solid cylinders of radius 10 cm and height 6 cm can be made by melting a solid sphere of radius 30 cm?

  5. Question 5

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

    Q2(A)(1)
    In the given figure, AR⊥BCAR \perp BC, AR⊥PQAR \perp PQ, then complete the activity for finding A(△ABC)A(△APQ)\dfrac{A(\triangle ABC)}{A(\triangle APQ)}.