PYQ Vault

Day 104: CBSE Class 10 Maths

5 questions (8 parts). Try each one first, then open its answer.

  1. Question 1

    Circles. Asked once: 2025 (same type asked 3 times)

    5
    In the adjoining figure, AC is diameter of larger circle with centre O. AB is tangent to smaller circle with centre O. If OD = r, then BC is equal to :

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  2. Question 2

    Coordinate Geometry. Asked once: 2024 (same type asked 3 times)

    11
    If the distance between the points (3,−5)(3, -5) and (x,−5)(x, -5) is 15 units, then the values of x are :

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  3. Question 3 (case study, 4 parts)

    Coordinate Geometry. Asked once: 2024 (same type asked 3 times)

    Ryan, from a very young age, was fascinated by the twinkling of stars and the vastness of space. He always dreamt of becoming an astronaut one day. So he started to sketch his own rocket designs on the graph sheet. One such design is given below : Based on the above, answer the following questions :
    36 (i)
    Find the mid-point of the segment joining F and G.
    36 (ii) (a)
    What is the distance between the points A and C ?
    36 (ii) (b)
    Find the coordinates of the point which divides the line segment joining the points A and B in the ratio 1 : 3 internally.
    36 (iii)
    What are the coordinates of the point D ?

  4. Question 4

    Introduction to Trigonometry. Asked once: 2026 (same type asked 3 times)

    18
    Simplest form of sec⁡Asec⁡2A−1\dfrac{\sec A}{\sqrt{\sec^2 A - 1}} is

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  5. Question 5

    Introduction to Trigonometry. Asked once: 2025 (same type asked 3 times)

    7
    If α+β=90∘\alpha + \beta = 90^\circ and α=2β\alpha = 2\beta, then cos⁡2α+sin⁡2β\cos^2\alpha + \sin^2\beta is equal to :

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