PYQ Vault

Day 80: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. Asked once: 2026 (same type asked 3 times)

    13
    It is given that ΔABC∼ΔQRP\Delta ABC \sim \Delta QRP such that AB = 9 cm, BC = 5 cm and PR = 2 cm. Length of side QR is :

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  2. Question 2

    Triangles. Asked once: 2024 (same type asked 3 times)

    10
    The perimeters of two similar triangles ABC and PQR are 56 cm and 48 cm respectively. PQ/AB is equal to

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  3. Question 3

    Triangles. Asked once: 2026 (same type asked 3 times)

    5
    Devansh proved that ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR using SAS similarity criteria. If he found ∠C=∠R\angle C = \angle R, then which of the following was proved true ?

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  4. Question 4

    Triangles. Asked once: 2025 (same type asked 3 times)

    23
    In the adjoining figure, AP = 1 cm, BP = 2 cm, AQ = 1.5 cm and AC = 4.5 cm. Prove that ΔAPQ∼ΔABC\Delta APQ \sim \Delta ABC. Hence find the length of PQ, if BC = 3.6 cm.

  5. Question 5

    Areas Related to Circles. Asked once: 2024 (same type asked 3 times)

    4
    If in the given figure, ∠C=∠D=90∘\angle C = \angle D = 90^\circ, ∠B=60∘\angle B = 60^\circ and AP = 3 cm, then the area of the shaded region is :

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