PYQ Vault

Day 24: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked 2 times: 2024, 2025

    2
    If sin⁡θ=cos⁡θ (0∘<θ<90∘)\sin\theta = \cos\theta\ (0^\circ < \theta < 90^\circ), then the value of sec⁡θ⋅sin⁡θ\sec\theta \cdot \sin\theta is :

    Tap an option to check your answer.

  2. Question 2

    Introduction to Trigonometry. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    30 (a)
    Prove the following trigonometric identity : 1+cosec⁡Acosec⁡A=cos⁡2A1−sin⁡A\dfrac{1 + \operatorname{cosec} A}{\operatorname{cosec} A} = \dfrac{\cos^2 A}{1 - \sin A}

  3. Question 3

    Pair of Linear Equations in Two Variables. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    25
    Solve the following system of equations algebraically : 73x−37y=10973x - 37y = 109 37x−73y=137x - 73y = 1

  4. Question 4

    Polynomials. Asked 2 times: 2023*, 2025 (* = numbers or wording changed that year)

    5
    If one zero of the polynomial q(x)=(p2+4)x2+65x+4pq(x) = (p^2 + 4)x^2 + 65x + 4p is reciprocal of the other, then the value of ‘p’ is :

    Tap an option to check your answer.

  5. Question 5

    Polynomials. Asked 2 times: 2024*, 2025 (* = numbers or wording changed that year)

    4
    If α\alpha and β\beta are the zeroes of the polynomial p(x)=x2−ax−bp(x) = x^2 - ax - b, then the value of (α+β+αβ)(\alpha + \beta + \alpha\beta) is equal to :

    Tap an option to check your answer.