PYQ Vault

Day 97: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2026 (same type asked 4 times)

    5
    PQ is tangent to a circle with centre O. If OQ=aOQ = a, OP=a+2OP = a + 2 and PQ=2bPQ = 2b, then relation between a and b is

    Tap an option to check your answer.

  2. Question 2

    Coordinate Geometry. Asked once: 2025 (same type asked 4 times)

    23
    Find the coordinates of the point C which lies on the line AB produced such that AC = 2BC, where coordinates of points A and B are (−1,7)(-1, 7) and (4,−3)(4, -3) respectively.

  3. Question 3

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

    21 (b)
    Evaluate : 1−2tan⁡230∘−sec⁡245∘sin⁡260∘\dfrac{1 - 2\tan^2 30^\circ - \sec^2 45^\circ}{\sin^2 60^\circ}

  4. Question 4

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

    3
    Given cot⁡θ=3\cot\theta = 3, the value of cos⁡θ\cos\theta is :

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  5. Question 5

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

    22 (b)
    Prove that : 1+cot⁡2α1+cosec⁡α=cosec⁡α1 + \dfrac{\cot^2\alpha}{1 + \operatorname{cosec}\alpha} = \operatorname{cosec}\alpha