PYQ Vault

Day 23: CBSE Class 10 Maths

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

  1. Question 1

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

    6
    The points (−5,0)(-5, 0), (5,0)(5, 0) and (0,4)(0, 4) are the vertices of a triangle which is a/an :

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  2. Question 2

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

    16
    AOBC is a rectangle whose three vertices are A(0,2)A(0, 2), O(0,0)O(0, 0) and B(4,0)B(4, 0). The square of the length of its diagonal is equal to :

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  3. Question 3

    Introduction to Trigonometry. Asked 2 times: 2023, 2025

    12
    1−tan⁡230∘1+tan⁡230∘\dfrac{1 - \tan^2 30^\circ}{1 + \tan^2 30^\circ} is equal to

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  4. Question 4

    Introduction to Trigonometry. Asked 2 times: 2024, 2025

    26 (a)
    Prove that : sec⁡2θ+cosec⁡2θ=tan⁡θ+cot⁡θ\sqrt{\sec^2\theta + \operatorname{cosec}^2\theta} = \tan\theta + \cot\theta

  5. Question 5

    Introduction to Trigonometry. Asked 2 times: 2024, 2025

    27 (b)
    Prove that : sin⁡A+cos⁡Asin⁡A−cos⁡A+sin⁡A−cos⁡Asin⁡A+cos⁡A=22sin⁡2A−1\dfrac{\sin A + \cos A}{\sin A - \cos A} + \dfrac{\sin A - \cos A}{\sin A + \cos A} = \dfrac{2}{2\sin^2 A - 1}