PYQ Vault

Day 173: CBSE Class 12 Maths

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

  1. Question 1

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

    29 (a)
    Find the particular solution of the differential equation dydx=x+yx\dfrac{dy}{dx} = \dfrac{x + y}{x}, y(1)=0y(1) = 0.

  2. Question 2

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

    32 (b)
    Find : ∫π6π3sin⁡x+cos⁡xsin⁡2x  dx\int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{\sin x + \cos x}{\sqrt{\sin 2x}} \; dx

  3. Question 3

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

    32 (a)
    Find : ∫3x+1(x−2)2(x+2) dx\displaystyle\int \dfrac{3x + 1}{(x - 2)^2 (x + 2)}\, dx

  4. Question 4

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

    23 (a)
    Find : ∫x1+2x  dx\int x \sqrt{1 + 2x} \; dx

  5. Question 5

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

    29 (a)
    The probability distribution of a random variable X is given by :
    X0123
    P(X)pp3\frac{p}{3}p6\frac{p}{6}p12\frac{p}{12}
    (i) Determine the value of p. (ii) Calculate P(X≥1)P(X \ge 1). (iii) Calculate expectation of X, i.e. E(X)