PYQ Vault

Day 204: CBSE Class 10 Maths

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

  1. Question 1

    Areas Related to Circles. Asked once: 2025

    13
    If the length of a chord of a circle is equal to its radius, then the angle subtended by chord at the centre is :

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  2. Question 2

    Arithmetic Progressions. Asked once: 2023

    32 (A)
    The sum of first seven terms of an A.P. is 182. If its 4th4^{\text{th}} term and the 17th17^{\text{th}} term are in the ratio 1:51 : 5, find the A.P.

  3. Question 3

    Circles. Asked once: 2025

    10
    For a circle with centre O and radius 5 cm, which of the following statements is true ? P : Distance between every pair of parallel tangents is 5 cm. Q : Distance between every pair of parallel tangents is 10 cm. R : Distance between every pair of parallel tangents must be between 5 cm and 10 cm. S : There does not exist a point outside the circle from where length of tangent is 5 cm.

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  4. Question 4

    Coordinate Geometry. Asked once: 2026

    9
    A circle centred at (−1,2)(-1, 2) passes through the point (0,3)(0, 3). Radius of the circle is

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  5. Question 5

    Introduction to Trigonometry. Asked once: 2025

    26 (b)
    If cosec⁡θ=x+14x\operatorname{cosec}\theta = x + \dfrac{1}{4x}, prove that cosec⁡θ+cot⁡θ=2x\operatorname{cosec}\theta + \cot\theta = 2x or 12x\dfrac{1}{2x}.