PYQ Vault

Day 146: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2023 (same type asked 3 times)

    21 (B)
    If θ\theta is an acute angle and sin⁡θ=cos⁡θ\sin\theta = \cos\theta, find the value of tan⁡2θ+cot⁡2θ−2\tan^2\theta + \cot^2\theta - 2.

  2. Question 2

    Pair of Linear Equations in Two Variables. Asked once: 2025 (same type asked 3 times)

    30
    Solve the following system of equations graphically : 2x+y=52x + y = 5 and 4x−y=74x - y = 7. Hence, write the coordinates of the points where given lines meet y-axis.

  3. Question 3

    Polynomials. Asked once: 2023 (same type asked 3 times)

    14
    Which of the following is a quadratic polynomial having zeroes −23\dfrac{-2}{3} and 23\dfrac{2}{3} ?

    Tap an option to check your answer.

  4. Question 4

    Polynomials. Asked once: 2023 (same type asked 3 times)

    1
    The graph of y=p(x)y = p(x) is given, for a polynomial p(x)p(x). The number of zeroes of p(x)p(x) from the graph is

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  5. Question 5

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

    21
    If p and q are zeroes of the polynomial p(y)=21y2−y−2p(y) = 21y^2 - y - 2, then find the value of (1−p)⋅(1−q)(1 - p) \cdot (1 - q).