PYQ Vault

Day 199: CBSE Class 10 Maths

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

  1. Question 1

    Arithmetic Progressions. Asked once: 2024

    33 (B)
    In an A.P. of 40 terms, the sum of first 9 terms is 153 and the sum of last 6 terms is 687. Determine the first term and common difference of A.P. Also, find the sum of all the terms of the A.P.

  2. Question 2

    Circles. Asked once: 2025

    10
    Which of the following statements is false ?

    Tap an option to check your answer.

  3. Question 3

    Coordinate Geometry. Asked once: 2026

    29 (a)
    A circle centered at (2,1)(2, 1) passes through the points A(5,6)A(5, 6) and B(−3,K)B(-3, K). Find the value(s) of K. Hence find length of chord AB.

  4. Question 4

    Introduction to Trigonometry. Asked once: 2025

    22 (b)
    Use the identity : sin⁡2A+cos⁡2A=1\sin^2 A + \cos^2 A = 1 to prove that tan⁡2A+1=sec⁡2A\tan^2 A + 1 = \sec^2 A. Hence, find the value of tan⁡A\tan A, when sec⁡A=53\sec A = \dfrac{5}{3}, where A is an acute angle.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2025

    34
    A man lent a part of his money at 10% p.a. and the rest at 15% p.a. His income at the end of the year is ₹ 1,900. If he had interchanged the rate of interest on the two sums, he would have earned ₹ 200 more. Find the amount lent in both cases.