PYQ Vault

Day 245: CBSE Class 12 Maths

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

  1. Question 1

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

    3
    If ∣−abca−bcab−c∣=kabc\begin{vmatrix} -a & b & c \\ a & -b & c \\ a & b & -c \end{vmatrix} = kabc, then the value of k is :

    Tap an option to check your answer.

  2. Question 2

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

    9
    ∫04(e2x+x) dx\displaystyle\int_0^4 (e^{2x} + x)\, dx is equal to :

    Tap an option to check your answer.

  3. Question 3

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

    28 (a)
    Find : ∫ex5−4ex−e2x dx\displaystyle\int \dfrac{e^x}{\sqrt{5 - 4e^x - e^{2x}}}\, dx

  4. Question 4

    Inverse Trigonometric Functions. Asked once: 2024 (same type asked 4 times)

    21 (b)
    Find the principal value of tan⁡−1(1)+cos⁡−1(−12)+sin⁡−1(−12)\tan^{-1}(1) + \cos^{-1}\left(-\dfrac{1}{2}\right) + \sin^{-1}\left(-\dfrac{1}{\sqrt{2}}\right).

  5. Question 5

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

    27
    Solve the following linear programming problem graphically : Maximise Z=20x+30yZ = 20x + 30y Subject to the constraints : x+y≤80x + y \leq 80 2x+3y≥1002x + 3y \geq 100 x≥14x \geq 14 y≥14y \geq 14