PYQ Vault

Day 255: CBSE Class 12 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1 (case study, 2 parts)

    Probability. Asked once: 2024 (same type asked 5 times)

    According to recent research, air turbulence has increased in various regions around the world due to climate change. Turbulence makes flights bumpy and often delays the flights. Assume that, an airplane observes severe turbulence, moderate turbulence or light turbulence with equal probabilities. Further, the chance of an airplane reaching late to the destination are 55%, 37% and 17% due to severe, moderate and light turbulence respectively. On the basis of the above information, answer the following questions :
    37 (i)
    Find the probability that an airplane reached its destination late.
    37 (ii)
    If the airplane reached its destination late, find the probability that it was due to moderate turbulence.

  2. Question 2

    Probability. Asked once: 2024 (same type asked 5 times)

    11
    If P(A∣B)=P(A′∣B)P(A|B) = P(A'|B), then which of the following statements is true ?

    Tap an option to check your answer.

  3. Question 3

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

    5
    Probabilities of A and B solving a specific problem are 23\frac{2}{3} and 35\frac{3}{5}, respectively. If both of them try independently to solve the problem, then find the probability that the problem is solved.

  4. Question 4

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    25 (a)
    Check the differentiability of f(x)=∣cos⁡x∣f(x) = |\cos x| at x=π2x = \dfrac{\pi}{2}.

  5. Question 5

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

    16
    If tan⁡(x+yx−y)=k\tan\left(\frac{x + y}{x - y}\right) = k, then dydx\frac{dy}{dx} is equal to

    Tap an option to check your answer.