PYQ Vault

Day 166: 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 4 times)

    26
    Find dydx\dfrac{dy}{dx}, if y=(cos⁡x)x+cos⁡−1xy = (\cos x)^{x} + \cos^{-1}\sqrt{x} is given.

  2. Question 2

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

    11
    If [x23x−1]\begin{bmatrix} x & 2 \\ 3 & x - 1 \end{bmatrix} is a singular matrix, then the product of all possible values of x is :

    Tap an option to check your answer.

  3. Question 3

    Determinants. Asked once: 2025 (same type asked 4 times)

    7
    If ∣−1241x1033x∣=−57\begin{vmatrix} -1 & 2 & 4 \\ 1 & x & 1 \\ 0 & 3 & 3x \end{vmatrix} = -57, the product of the possible values of x is :

    Tap an option to check your answer.

  4. Question 4

    Differential Equations. Asked once: 2022 (same type asked 4 times)

    9
    Find the particular solution of the differential equation (y+3x2)dxdy=x(y + 3x^2) \frac{dx}{dy} = x, given that y=1y = 1, when x=1x = 1.

  5. Question 5

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

    27 (b)
    Evaluate ∫−aaf(x) dx\int\limits_{-a}^{a} f(x) \, dx, where f(x)=9x1+9xf(x) = \frac{9^x}{1 + 9^x}.