PYQ Vault

Day 4: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked 3 times: 2024*, 2025*, 2026 (* = numbers or wording changed that year)

    4
    If PQ and PR are tangents to the circle with centre O and radius 4 cm such that ∠QPR=90∘\angle QPR = 90^\circ, then the length OP is

    Tap an option to check your answer.

  2. Question 2

    Coordinate Geometry. Asked 3 times: 2023*, 2025*, 2026 (* = numbers or wording changed that year)

    9
    The distance of the point A(4a,3a)A(4a, 3a) from x-axis is :

    Tap an option to check your answer.

  3. Question 3

    Coordinate Geometry. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    2
    The line segment joining the points P(−4,−2)P(-4, -2) and Q(10,4)Q(10, 4) is divided by y-axis in the ratio

    Tap an option to check your answer.

  4. Question 4

    Coordinate Geometry. Asked 3 times: 2023, 2025, 2026* (* = numbers or wording changed that year)

    23
    The coordinates of the centre of a circle are (x−7,2x)(x - 7, 2x). Find the value(s) of ‘xx’, if the circle passes through the point (−9,11)(-9, 11) and has radius 525\sqrt{2} units.

  5. Question 5

    Introduction to Trigonometry. Asked 3 times: 2024, 2025, 2026* (* = numbers or wording changed that year)

    28
    Prove that : tan⁡θ1−cot⁡θ+cot⁡θ1−tan⁡θ=1+tan⁡θ+cot⁡θ\dfrac{\tan\theta}{1 - \cot\theta} + \dfrac{\cot\theta}{1 - \tan\theta} = 1 + \tan\theta + \cot\theta.