PYQ Vault

Day 218: CBSE Class 10 Maths

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

  1. Question 1

    Real Numbers. Asked once: 2025

    26 (a)
    Prove that 5\sqrt{5} is an irrational number.

  2. Question 2

    Triangles. Asked once: 2025

    32
    The perimeter of an isosceles triangle is 32 cm. If each equal side is 56th\dfrac{5}{6}^{\text{th}} of the base, find the area of the triangle.

  3. Question 3

    Arithmetic Progressions. Asked once: 2022

    10
    If the last term of an A.P. of 30 terms is 119 and the 8th8^{\text{th}} term from the end (towards the first term) is 91, then find the common difference of the A.P. Hence, find the sum of all the terms of the A.P.

  4. Question 4

    Circles. Asked once: 2024

    18
    In the given figure, QR is a common tangent to the two given circles touching externally at A. The tangent at A meets QR at P. If AP = 4⋅24{\cdot}2 cm, then the length of QR is :

    Tap an option to check your answer.

  5. Question 5

    Coordinate Geometry. Asked once: 2024

    23
    In the given figure, a circle centred at origin O has radius 7 cm, OC is median of ΔOAB\Delta OAB. Find the length of median OC.