PYQ Vault

Day 21: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)

    33 (a)
    The sum of the third term and the seventh term of an AP is 6 and their product is 8. Find the sum of the first sixteen terms of the AP.

  2. Question 2

    Arithmetic Progressions. Asked 2 times: 2024, 2025

    32 (b)
    The sum of the first six terms of an arithmetic progression is 42. The ratio of the 10th10^{\text{th}} term to the 30th30^{\text{th}} term is 1 : 3. Calculate the first and the thirteenth terms of the AP.

  3. Question 3

    Circles. Asked 2 times: 2024, 2025

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : Tangents drawn at the end points of a diameter of a circle are always parallel to each other. Reason (R) : The lengths of tangents drawn to a circle from a point outside the circle are always equal.

    Tap an option to check your answer.

  4. Question 4

    Circles. Asked 2 times: 2023, 2025* (* = numbers or wording changed that year)

    31
    Rectangle ABCD circumscribes the circle of radius 10 cm. Prove that ABCD is a square. Hence, find the perimeter of ABCD.

  5. Question 5

    Circles. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : A line drawn perpendicular to the tangent at point of contact passes through the centre of the circle. Reason (R) : Lengths of tangents drawn from external point to a circle are equal.

    Tap an option to check your answer.