PYQ Vault

Day 135: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2023 (same type asked 2 times)

    6
    If 2tan⁡A=32\tan A = 3, then the value of 4sin⁡A+3cos⁡A4sin⁡A−3cos⁡A\dfrac{4\sin A + 3\cos A}{4\sin A - 3\cos A} is

    Tap an option to check your answer.

  2. Question 2

    Introduction to Trigonometry. Asked once: 2025 (same type asked 2 times)

    28 (a)
    Prove that : sec⁡A−1sec⁡A+1+sec⁡A+1sec⁡A−1=2cosec⁡A\sqrt{\dfrac{\sec A - 1}{\sec A + 1}} + \sqrt{\dfrac{\sec A + 1}{\sec A - 1}} = 2\operatorname{cosec} A

  3. Question 3

    Pair of Linear Equations in Two Variables. Asked once: 2026 (same type asked 2 times)

    27
    Use graphical method to solve the system of linear equations : x=−3x = -3 and 5x−2y=−55x - 2y = -5.

  4. Question 4

    Quadratic Equations. Asked once: 2026 (same type asked 2 times)

    10
    If the roots of the quadratic equation 3x2−kx+23=0\sqrt{3}x^2 - kx + 2\sqrt{3} = 0 are real and equal, then the value(s) of k is/are :

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  5. Question 5

    Surface Areas and Volumes. Asked once: 2025 (same type asked 2 times)

    26
    If the radii of the bases of a cylinder and a cone are in the ratio 3:43 : 4 and their heights are in the ratio 2:32 : 3, find the ratio of their volumes.