PYQ Vault

Day 104: CBSE Class 12 Maths

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

  1. Question 1

    Determinants. Asked once: 2026 (same type asked 4 times)

    6
    If ∣−1−25−2a−1042a∣=−86\begin{vmatrix} -1 & -2 & 5 \\ -2 & a & -1 \\ 0 & 4 & 2a \end{vmatrix} = -86, then the sum of all possible values of a is

    Tap an option to check your answer.

  2. Question 2

    Differential Equations. Asked once: 2024 (same type asked 4 times)

    31
    Solve the following differential equation : (tan⁡−1y−x)  dy=(1+y2)  dx(\tan^{-1} y - x) \; dy = (1 + y^2) \; dx

  3. Question 3

    Integrals. Asked once: 2024 (same type asked 4 times)

    25
    Evaluate : ∫−1/21/2cos⁡x⋅log⁡(1+x1−x)dx\displaystyle\int_{-1/2}^{1/2} \cos x \cdot \log\left(\dfrac{1+x}{1-x}\right) dx

  4. Question 4

    Integrals. Asked once: 2026 (same type asked 4 times)

    11
    The value of ∫0113x−4 dx\displaystyle\int_{0}^{1} \dfrac{1}{3x - 4}\,dx is :

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  5. Question 5

    Integrals. Asked once: 2026 (same type asked 4 times)

    27 (b)
    Evaluate : ∫021x2+2x+3 dx\displaystyle\int_{0}^{2} \dfrac{1}{\sqrt{x^2 + 2x + 3}}\,dx