PYQ Vault

Day 12: CBSE Class 10 Maths

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

  1. Question 1

    Coordinate Geometry. Asked 2 times: 2024, 2026

    21
    Do the points P (1,0)(1, 0), Q (−5,0)(-5, 0) and R (−2,5)(-2, 5) form a triangle ? If so, name the type of triangle formed.

  2. Question 2

    Coordinate Geometry. Asked 2 times: 2024*, 2026 (* = numbers or wording changed that year)

    15
    The distance between the points (acos⁡θ+bsin⁡θ,0)(a\cos\theta + b\sin\theta, 0) and (0,asin⁡θ−bcos⁡θ)(0, a\sin\theta - b\cos\theta) is

    Tap an option to check your answer.

  3. Question 3

    Coordinate Geometry. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    8
    The mid-point of the line segment joining the points (5,−4)(5, -4) and (6,4)(6, 4) lies on :

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  4. Question 4

    Coordinate Geometry. Asked 2 times: 2025*, 2026 (* = numbers or wording changed that year)

    23
    If the points A(4,5)A(4, 5), B(m,6)B(m, 6), C(4,3)C(4, 3) and D(1,n)D(1, n) taken in this order are the vertices of a parallelogram ABCD, then find the values of m and n.

  5. Question 5

    Introduction to Trigonometry. Asked 2 times: 2023*, 2026 (* = numbers or wording changed that year)

    26 (a)
    If sin⁡θ+cos⁡θ=3\sin\theta + \cos\theta = \sqrt{3}, then prove that tan⁡θ+cot⁡θ=1\tan\theta + \cot\theta = 1