PYQ Vault

Day 131: CBSE Class 10 Maths

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

  1. Question 1

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

    23
    In ΔABC\Delta ABC and ΔPQR\Delta PQR, AD and PS are altitudes such that ΔABD∼ΔPQS\Delta ABD \sim \Delta PQS and ΔACD∼ΔPRS\Delta ACD \sim \Delta PRS. Prove that ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR.

  2. Question 2

    Triangles. Asked once: 2023 (same type asked 3 times)

    25 (B)
    Diagonals AC and BD of trapezium ABCD with AB ∥\parallel DC intersect each other at point O. Show that OAOC=OBOD\dfrac{OA}{OC} = \dfrac{OB}{OD}.

  3. Question 3

    Triangles. Asked once: 2023 (same type asked 3 times)

    12
    In the given figure, ΔABC∼ΔQPR\Delta ABC \sim \Delta QPR. If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; then the value of x is :

    Tap an option to check your answer.

  4. Question 4

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

    7
    Given ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR, ∠A=30∘\angle A = 30^\circ and ∠Q=90∘\angle Q = 90^\circ. The value of (∠R+∠B)(\angle R + \angle B) is

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  5. Question 5

    Areas Related to Circles. Asked once: 2023 (same type asked 3 times)

    31
    Reeti prepares a Rakhi for her brother Ronit. The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in a circle as shown in the figure. Find the area of the shaded region. (Use π=3⋅14\pi = 3{\cdot}14)