PYQ Vault

Day 5: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    22 (a)
    For acute angles A and B, if sec⁡(2A−B)=2\sec(2A - B) = \sqrt{2} and cosec⁡(A+B)=2\operatorname{cosec}(A + B) = 2, then find the values of A and B.

  2. Question 2

    Introduction to Trigonometry. Asked 3 times: 2024*, 2025*, 2026 (* = numbers or wording changed that year)

    10
    If cos⁡y=0\cos y = 0, then what is the value of 12cos⁡y2\dfrac{1}{2}\cos\dfrac{y}{2} ?

    Tap an option to check your answer.

  3. Question 3

    Introduction to Trigonometry. Asked 3 times: 2023, 2024*, 2026 (* = numbers or wording changed that year)

    22 (a)
    Evaluate : 5cos⁡260∘+4sec⁡230∘−tan⁡245∘sin⁡230∘+cos⁡230∘\dfrac{5\cos^2 60^\circ + 4\sec^2 30^\circ - \tan^2 45^\circ}{\sin^2 30^\circ + \cos^2 30^\circ}

  4. Question 4

    Polynomials. Asked 3 times: 2023*, 2024*, 2026 (* = numbers or wording changed that year)

    21
    If α,β\alpha, \beta are the zeroes of the polynomial p(x)=x2−3x−1p(x) = x^2 - 3x - 1, then find the value of 1α+1β\dfrac{1}{\alpha} + \dfrac{1}{\beta}.

  5. Question 5

    Probability. Asked 3 times: 2024*, 2025*, 2026 (* = numbers or wording changed that year)

    4
    For an event E, P(E)+P(E‾)=xP(E) + P(\overline{E}) = x, then the value of x2−3x^2 - 3 is :

    Tap an option to check your answer.