PYQ Vault

Day 268: 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: 2022 (same type asked 5 times)

    A shopkeeper sells three types of flower seeds A1, A2, A3. They are sold in the form of a mixture, where the proportions of these seeds are 4 : 4 : 2, respectively. The germination rates of the three types of seeds are 45%, 60% and 35% respectively. Based on the above information :
    14 (a)
    Calculate the probability that a randomly chosen seed will germinate;
    14 (b)
    Calculate the probability that the seed is of type A2, given that a randomly chosen seed germinates.

  2. Question 2

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

    8
    If A and B are two events such that P(A/B)=2×P(B/A)P(A/B) = 2 \times P(B/A) and P(A)+P(B)=23P(A) + P(B) = \frac{2}{3}, then P(B)P(B) is equal to

    Tap an option to check your answer.

  3. Question 3

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

    4
    The function f(x)=∣x∣−xf(x) = |x| - x is :

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  4. Question 4

    Integrals. Asked once: 2022 (same type asked 4 times)

    1
    Find : ∫dx4x−x2\int \dfrac{dx}{\sqrt{4x - x^2}}

  5. Question 5

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

    30
    Solve the following L.P.P. graphically : Maximise Z=x+3yZ = x + 3y subject to the constraints : x+2y≤200x + 2y \le 200 x+y≤150x + y \le 150 y≤75y \le 75 x,y≥0x, y \ge 0