PYQ Vault

Day 113: CBSE Class 10 Maths

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

  1. Question 1

    Coordinate Geometry. Asked once: 2025 (same type asked 2 times)

    6
    In the figure given below, points P, Q, R divides the line segment AB in four equal parts. The point Q divides PB in the ratio

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  2. Question 2

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

    6
    If tan⁡θ=512\tan\theta = \dfrac{5}{12}, then the value of sin⁡θ+cos⁡θsin⁡θ−cos⁡θ\dfrac{\sin\theta + \cos\theta}{\sin\theta - \cos\theta} is :

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  3. Question 3

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

    27 (b)
    Prove that : cosec⁡θ−1cosec⁡θ+1+cosec⁡θ+1cosec⁡θ−1=2sec⁡θ\sqrt{\dfrac{\operatorname{cosec}\theta - 1}{\operatorname{cosec}\theta + 1}} + \sqrt{\dfrac{\operatorname{cosec}\theta + 1}{\operatorname{cosec}\theta - 1}} = 2\sec\theta

  4. Question 4

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

    5
    If sin⁡4θ=32\sin 4\theta = \dfrac{\sqrt{3}}{2}, then θ3\dfrac{\theta}{3} equals :

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  5. Question 5

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

    30
    Solve the system of linear equations : x=4x = 4 and 3x−2y=63x - 2y = 6 graphically.