PYQ Vault

Day 122: CBSE Class 10 Maths

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

  1. Question 1

    Introduction to Trigonometry. Asked once: 2026 (same type asked 4 times)

    9
    Given that sin⁡θ=ab\sin\theta = \dfrac{a}{b}, then cos⁡θ\cos\theta is equal to :

    Tap an option to check your answer.

  2. Question 2

    Introduction to Trigonometry. Asked once: 2026 (same type asked 4 times)

    30
    Prove that : 1sec⁡x−tan⁡x−1cos⁡x=1cos⁡x−1sec⁡x+tan⁡x\dfrac{1}{\sec x - \tan x} - \dfrac{1}{\cos x} = \dfrac{1}{\cos x} - \dfrac{1}{\sec x + \tan x}

  3. Question 3

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    22 (a)
    If asec⁡θ+btan⁡θ=ma\sec\theta + b\tan\theta = m and bsec⁡θ+atan⁡θ=nb\sec\theta + a\tan\theta = n, prove that a2+n2=b2+m2a^2 + n^2 = b^2 + m^2

  4. Question 4

    Introduction to Trigonometry. Asked once: 2025 (same type asked 4 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : For an acute angle θ\theta, value of cosec⁡θ\operatorname{cosec}\theta cannot be 12\dfrac{1}{\sqrt{2}}. Reason (R) : cosec⁡θ≥1\operatorname{cosec}\theta \ge 1 for 0∘≤θ≤90∘0^\circ \le \theta \le 90^\circ

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  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2023 (same type asked 4 times)

    2
    The pair of equations ax+2y=9ax + 2y = 9 and 3x+by=183x + by = 18 represent parallel lines, where a, b are integers, if :

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