PYQ Vault

Day 86: CBSE Class 10 Maths

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

  1. Question 1

    Coordinate Geometry. Asked once: 2023 (same type asked 2 times)

    28
    If Q(0,1)Q(0, 1) is equidistant from P(5,−3)P(5, -3) and R(x,6)R(x, 6), find the values of x.

  2. Question 2

    Introduction to Trigonometry. Asked once: 2026 (same type asked 2 times)

    14
    For an acute angle θ\theta, if sin⁡θ=19\sin\theta = \dfrac{1}{9}, then value of 9cosec⁡θ+19cosec⁡θ−1\dfrac{9\operatorname{cosec}\theta + 1}{9\operatorname{cosec}\theta - 1} is

    Tap an option to check your answer.

  3. Question 3

    Introduction to Trigonometry. Asked once: 2026 (same type asked 2 times)

    24 (b)
    Prove that : 1−sin⁡θ1+sin⁡θ=sec⁡θ−tan⁡θ\sqrt{\dfrac{1 - \sin\theta}{1 + \sin\theta}} = \sec\theta - \tan\theta

  4. Question 4

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

    1
    If tan⁡3θ=3\tan 3\theta = \sqrt{3}, then θ2\dfrac{\theta}{2} equals :

    Tap an option to check your answer.

  5. Question 5

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

    28
    Use graphical method to solve the system of linear equations : y=−3y = -3 and x+2y=4x + 2y = 4.