PYQ Vault

Day 154: 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)

    24 (A)
    If tan⁡θ=247\tan\theta = \dfrac{24}{7}, then find the value of sin⁡θ+cos⁡θ\sin\theta + \cos\theta.

  2. Question 2

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

    26 (b)
    Prove that : (sin⁡A+sec⁡A)2+(cos⁡A+cosec⁡A)2=(1+sec⁡Acosec⁡A)2(\sin A + \sec A)^2 + (\cos A + \operatorname{cosec} A)^2 = (1 + \sec A \operatorname{cosec} A)^2

  3. Question 3

    Introduction to Trigonometry. Asked once: 2024 (same type asked 4 times)

    29
    If sin⁡θ+cos⁡θ=p\sin\theta + \cos\theta = p and sec⁡θ+cosec⁡θ=q\sec\theta + \operatorname{cosec}\theta = q, then prove that q(p2−1)=2pq(p^2 - 1) = 2p.

  4. Question 4

    Introduction to Trigonometry. Asked once: 2023 (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.
    20
    Statement A (Assertion) : For 0<θ≤90∘0 < \theta \leq 90^\circ, cosec⁡θ−cot⁡θ\operatorname{cosec}\theta - \cot\theta and cosec⁡θ+cot⁡θ\operatorname{cosec}\theta + \cot\theta are reciprocal of each other. Statement R (Reason) : cosec⁡2θ−cot⁡2θ=1\operatorname{cosec}^2\theta - \cot^2\theta = 1

    Tap an option to check your answer.

  5. Question 5

    Pair of Linear Equations in Two Variables. Asked once: 2024 (same type asked 4 times)

    1
    The pair of linear equations x+2y+5=0x + 2y + 5 = 0 and −3x=6y−1-3x = 6y - 1 has

    Tap an option to check your answer.