PYQ Vault

Day 184: 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 4 times)

    26
    Prove that : cos⁡2θ1−tan⁡θ+sin⁡3θsin⁡θ−cos⁡θ=1+sin⁡θcos⁡θ\dfrac{\cos^2\theta}{1 - \tan\theta} + \dfrac{\sin^3\theta}{\sin\theta - \cos\theta} = 1 + \sin\theta\cos\theta

  2. Question 2

    Probability. Asked once: 2023 (same type asked 4 times)

    11
    In a single throw of two dice, the probability of getting 12 as a product of two numbers obtained is :

    Tap an option to check your answer.

  3. Question 3

    Introduction to Trigonometry. Asked once: 2023 (same type asked 4 times)

    22 (A)
    Evaluate 2sec⁡2θ+3cosec⁡2θ−2sin⁡θcos⁡θ2\sec^2\theta + 3\operatorname{cosec}^2\theta - 2\sin\theta\cos\theta if θ=45∘\theta = 45^\circ.

  4. Question 4

    Introduction to Trigonometry. Asked once: 2023 (same type asked 4 times)

    9
    [34tan⁡230∘−sec⁡245∘+sin⁡260∘]\left[\dfrac{3}{4}\tan^2 30^\circ - \sec^2 45^\circ + \sin^2 60^\circ\right] is equal to

    Tap an option to check your answer.

  5. Question 5

    Introduction to Trigonometry. Asked once: 2023 (same type asked 4 times)

    21 (A)
    Evaluate : 5cot⁡230∘+1sin⁡260∘−cot⁡245∘+2sin⁡290∘\dfrac{5}{\cot^2 30^\circ} + \dfrac{1}{\sin^2 60^\circ} - \cot^2 45^\circ + 2\sin^2 90^\circ