PYQ Vault

Day 271: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2023 (same type asked 5 times)

    13
    Anti-derivative of tan⁡x−1tan⁡x+1\frac{\tan x - 1}{\tan x + 1} with respect to xx is

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  2. Question 2

    Probability. Asked once: 2023 (same type asked 5 times)

    17
    If for any two events A and B, P(A)=45P(A) = \dfrac{4}{5} and P(A∩B)=710P(A \cap B) = \dfrac{7}{10}, then P(B/A) is equal to

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  3. Question 3

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    15
    The value of k for which function f(x)={x2,x≥0kx,x<0f(x) = \begin{cases} x^2, & x \geq 0 \\ kx, & x < 0 \end{cases} is differentiable at x = 0 is :

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  4. Question 4

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

    34
    Solve the following Linear Programming Problem graphically : Maximize : P=70x+40yP = 70x + 40y subject to : 3x+2y≤93x + 2y \le 9, 3x+y≤93x + y \le 9, x≥0, y≥0x \ge 0,\ y \ge 0

  5. Question 5

    Differential Equations. Asked once: 2023 (same type asked 5 times)

    9
    What is the product of the order and degree of the differential equation d2ydx2sin⁡y+(dydx)3cos⁡y=y\frac{d^2 y}{dx^2} \sin y + \left( \frac{dy}{dx} \right)^3 \cos y = \sqrt{y} ?

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