PYQ Vault

Day 49: CBSE Class 10 Maths

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

  1. Question 1

    Triangles. This type asked 3 times: 2023, 2025, 2026. This one: 2025

    24
    AD and PS are medians of triangles ABC and PQR respectively such that ΔABD∼ΔPQS\Delta ABD \sim \Delta PQS. Prove that ΔABC∼ΔPQR\Delta ABC \sim \Delta PQR.
  2. Question 2

    Triangles. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    24
    The diagonals of a quadrilateral ABCD intersect each other at the point O such that AOOC=BOOD\dfrac{AO}{OC} = \dfrac{BO}{OD}. Show that quadrilateral ABCD is a trapezium.
  3. Question 3

    Triangles. This type asked 3 times: 2024, 2025, 2026. This one: 2024

    18
    If a vertical pole of length 7⋅57{\cdot}5 m casts a shadow 5 m long on the ground and at the same time, a tower casts a shadow 24 m long, then the height of the tower is :

    Tap an option to check your answer.

  4. Question 4

    Triangles. This type asked 3 times: 2023, 2025, 2026. This one: 2026

    7
    If ΔABC\Delta ABC and ΔDEF\Delta DEF are similar such that 2 AB=DE2\,AB = DE and BC = 8 cm, then EF is equal to :

    Tap an option to check your answer.

  5. Question 5

    Triangles. This type asked 3 times: 2023, 2024, 2026. This one: 2026

    2
    It is given that ΔABC∼ΔEDF\Delta ABC \sim \Delta EDF. Which of the following is not true ?

    Tap an option to check your answer.