PYQ Vault

Day 22: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    26 (a)
    In the given figure, O is the centre of the circle and BCD is tangent to it at C. Prove that ∠BAC+∠ACD=90∘\angle BAC + \angle ACD = 90^\circ.

  2. Question 2

    Circles. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)

    31
    In the adjoining figure, XY and X′Y′X'Y' are parallel tangents to a circle with centre O. Another tangent AB touches the circle at C intersecting XY at A and X′Y′X'Y' at B. Prove that AB subtends right angle at the centre of the circle; or ∠AOB=90∘\angle AOB = 90^\circ.

  3. Question 3

    Coordinate Geometry. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)

    25
    Find the length of the median through the vertex B of ΔABC\Delta ABC with vertices A(9,−2)A(9, -2), B(−3,7)B(-3, 7) and C(−1,10)C(-1, 10).

  4. Question 4

    Coordinate Geometry. Asked 2 times: 2023, 2025

    16
    The end points of a diameter of circle are (2,4)(2, 4) and (−3,−1)(-3, -1). The length of its radius is :

    Tap an option to check your answer.

  5. Question 5

    Coordinate Geometry. Asked 2 times: 2023, 2025

    28
    Find the ratio in which the y-axis divides the line segment joining the points (5,−6)(5, -6) and (−1,−4)(-1, -4). Also find the point of intersection.