PYQ Vault

Day 141: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2026 (same type asked 4 times)

    10
    If cos⁡A=45\cos A = \dfrac{4}{5}, then the value of tan⁡A\tan A is :

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  2. Question 2

    Introduction to Trigonometry. Asked once: 2026 (same type asked 4 times)

    28 (B)
    Prove that : tan⁡A1+sec⁡A−tan⁡A1−sec⁡A=2cosec⁡A\dfrac{\tan A}{1 + \sec A} - \dfrac{\tan A}{1 - \sec A} = 2\operatorname{cosec} A

  3. Question 3

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    29 (b)
    If cot⁡θ+cos⁡θ=p\cot\theta + \cos\theta = p and cot⁡θ−cos⁡θ=q\cot\theta - \cos\theta = q, prove that p2−q2=4pqp^2 - q^2 = 4\sqrt{pq}

  4. Question 4

    Introduction to Trigonometry. Asked once: 2024 (same type asked 4 times)

    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) : If sin⁡A=13\sin A = \dfrac{1}{3} (0∘<A<90∘)(0^\circ < A < 90^\circ), then the value of cos⁡A\cos A is 223\dfrac{2\sqrt{2}}{3} Reason (R) : For every angle θ\theta, sin⁡2θ+cos⁡2θ=1\sin^2\theta + \cos^2\theta = 1.

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  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 4 times)

    30 (a)
    If the system of linear equations 2x+3y=72x + 3y = 7 and 2ax+(a+b)y=282ax + (a + b)y = 28 have infinite number of solutions, then find the values of ‘a’ and ‘b’.