PYQ Vault

Day 55: CBSE Class 10 Maths

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

  1. Question 1

    Circles. This type asked 2 times: 2024, 2026. This one: 2026

    29 (A)
    In the given figure, ΔABC\Delta ABC is a right triangle in which ∠B=90∘\angle B = 90^\circ, AB = 4 cm and BC = 3 cm. Find the radius of the circle inscribed in the triangle ABC.

  2. Question 2

    Coordinate Geometry. This type asked 2 times: 2024, 2026. This one: 2026

    30
    A point P(x,7)P(x, 7) divides a line segment joining the points A(−5,4)A(-5, 4) and B(7,9)B(7, 9) in a certain ratio. Find the ratio and hence find the value of x.

  3. Question 3

    Coordinate Geometry. This type asked 2 times: 2025, 2026. This one: 2026

    27
    Find the coordinates of the points of trisection of the line segment joining the points A(−1,4)A(-1, 4) and B(−3,−2)B(-3, -2).

  4. Question 4

    Coordinate Geometry. This type asked 2 times: 2023, 2026. This one: 2026

    23 (b)
    Find the coordinates of a point on the line x+y=5x + y = 5 which is equidistant from (6,4)(6, 4) and (5,2)(5, 2).

  5. Question 5

    Introduction to Trigonometry. This type asked 2 times: 2023, 2026. This one: 2026

    6
    For an acute angle θ\theta, if cos⁡θ=18\cos\theta = \dfrac{1}{8}, then 8sec⁡θ+18sec⁡θ−1\dfrac{8\sec\theta + 1}{8\sec\theta - 1} equals

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