PYQ Vault

Day 272: 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)

    29 (a)
    Find : ∫cos⁡xsin⁡3x dx\int \frac{\cos x}{\sin 3x} \, dx

  2. Question 2

    Probability. Asked once: 2022 (same type asked 5 times)

    4
    Let A and B be two events such that P(A)=58P(A) = \frac{5}{8}, P(B)=12P(B) = \frac{1}{2} and P(A/B)=34P(A/B) = \frac{3}{4}. Find the value of P(B/A)P(B/A).

  3. Question 3

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

    26
    Solve the following Linear Programming problem graphically : Maximize : Z=3x+3.5yZ = 3x + 3.5y subject to constraints : x+2y≥240x + 2y \ge 240, 3x+1.5y≥2703x + 1.5y \ge 270, 1.5x+2y≤3101.5x + 2y \le 310, x≥0,y≥0x \ge 0, y \ge 0.

  4. Question 4

    Differential Equations. Asked once: 2022 (same type asked 5 times)

    1
    Find the sum of the order and the degree of the differential equation : (x+dydx)2=(dydx)2+1\left(x + \frac{dy}{dx}\right)^2 = \left(\frac{dy}{dx}\right)^2 + 1

  5. Question 5

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

    10
    ∫sec⁡xsec⁡x−tan⁡x dx\displaystyle\int \dfrac{\sec x}{\sec x - \tan x}\,dx equals

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