PYQ Vault

Day 140: CBSE Class 10 Maths

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

  1. Question 1

    Circles. Asked once: 2023 (same type asked 4 times)

    29 (b)
    In the given figure, a circle is inscribed in a quadrilateral ABCD in which ∠B=90∘\angle B = 90^\circ. If AD = 17 cm, AB = 20 cm and DS = 3 cm, then find the radius of the circle.

  2. Question 2

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

    16
    In the given figure, RJ and RL are two tangents to the circle. If ∠RJL=42∘\angle RJL = 42^\circ, then the measure of ∠JOL\angle JOL is :

    Tap an option to check your answer.

  3. Question 3

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

    27
    In the given figure, PB is a tangent to the circle with centre O at B. AB is a chord of the circle of length 24 cm and at a distance of 5 cm from the centre of the circle. If the length PB of the tangent is 20 cm, find the length of OP.

  4. Question 4

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

    7
    Two of the vertices of ΔPQR\Delta PQR are P(−1,5)P(-1, 5) and Q(5,2)Q(5, 2). The coordinates of a point which divides PQ in the ratio 2 : 1 are :

    Tap an option to check your answer.

  5. Question 5

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

    24 (a)
    Evaluate : sin⁡360∘−tan⁡30∘cos⁡245∘\dfrac{\sin^3 60^\circ - \tan 30^\circ}{\cos^2 45^\circ}