PYQ Vault

Day 176: CBSE Class 12 Maths

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

  1. Question 1

    Continuity and Differentiability. Asked once: 2024 (same type asked 3 times)

    1
    If x=atx = at, y=aty = \frac{a}{t}, then dydx\frac{dy}{dx} is :

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  2. Question 2

    Continuity and Differentiability. Asked once: 2023 (same type asked 3 times)

    21 (b)
    If x=acos⁡tx = a\cos t and y=bsin⁡ty = b\sin t, then find d2ydx2\dfrac{d^2y}{dx^2}.

  3. Question 3

    Determinants. Asked once: 2024 (same type asked 3 times)

    4
    If inverse of matrix [7−3−3−110−101]\begin{bmatrix} 7 & -3 & -3 \\ -1 & 1 & 0 \\ -1 & 0 & 1 \end{bmatrix} is the matrix [1331λ3134]\begin{bmatrix} 1 & 3 & 3 \\ 1 & \lambda & 3 \\ 1 & 3 & 4 \end{bmatrix}, then value of λ\lambda is :

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  4. Question 4

    Differential Equations. Asked once: 2025 (same type asked 3 times)

    12
    The integrating factor of differential equation (x+2y3)dydx=2y(x + 2y^3)\frac{dy}{dx} = 2y is

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  5. Question 5

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 3 times)

    5
    The principal value of sin⁡−1(cos⁡43π5)\sin^{-1}\left(\cos \dfrac{43\pi}{5}\right) is

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