PYQ Vault

Day 155: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked once: 2023 (same type asked 3 times)

    1
    If A=[0100]A = \begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}, then A2023A^{2023} is equal to

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  2. Question 2

    Probability. Asked once: 2023 (same type asked 3 times)

    18
    If A and B are two independent events such that P(A)=13P(A) = \dfrac{1}{3} and P(B)=14P(B) = \dfrac{1}{4}, then P(B′/A)P(B'/A) is

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  3. Question 3

    Probability. Asked once: 2022 (same type asked 3 times)

    3
    Let X be a random variable which assumes values x1x_1, x2x_2, x3x_3, x4x_4 such that 2P(X=x1)=3P(X=x2)=P(X=x3)=5P(X=x4)2P(X = x_1) = 3P(X = x_2) = P(X = x_3) = 5P(X = x_4). Find the probability distribution of X.

  4. Question 4

    Relations and Functions. Asked once: 2023 (same type asked 3 times)

    32
    Show that a function f : R→R\mathbb{R} \to \mathbb{R} defined as f(x)=5x−34f(x) = \frac{5x - 3}{4} is both one-one and onto.

  5. Question 5

    Relations and Functions. Asked once: 2024 (same type asked 3 times)

    26 (a)
    A relation R on set A={1,2,3,4,5}A = \{1, 2, 3, 4, 5\} is defined as R={(x,y):∣x2−y2∣<8}R = \{(x, y) : |x^2 - y^2| < 8\}. Check whether the relation R is reflexive, symmetric and transitive.