PYQ Vault

Day 121: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2024 (same type asked 4 times)

    30 (B)
    A circle with centre O and radius 8 cm is inscribed in a quadrilateral ABCD in which P, Q, R, S are the points of contact as shown. If AD is perpendicular to DC, BC = 30 cm and BS = 24 cm, then find the length DC.

  2. Question 2

    Circles. Asked once: 2025 (same type asked 4 times)

    11
    In the adjoining figure, PA and PB are tangents to a circle with centre O. The measure of angle APB is

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  3. Question 3

    Circles. Asked once: 2025 (same type asked 4 times)

    25
    A person is standing at P outside a circular ground at a distance of 26 m from the centre of the ground. He found that his distances from the points A and B on the ground are 10 m (PA and PB are tangents to the circle). Find the radius of the circular ground.

  4. Question 4

    Coordinate Geometry. Asked once: 2025 (same type asked 4 times)

    22
    The coordinates of the end points of the line segment AB are A(−2,−2)A(-2, -2) and B(2,−4)B(2, -4). P is the point on AB such that BP=47ABBP = \dfrac{4}{7} AB. Find the coordinates of point P.

  5. Question 5

    Introduction to Trigonometry. Asked once: 2026 (same type asked 4 times)

    11
    The value of (13cot⁡230∘−12sec⁡260∘)\left(\dfrac{1}{3}\cot^2 30^\circ - \dfrac{1}{2}\sec^2 60^\circ\right) is :

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