PYQ Vault

Day 21: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked 2 times: 2023*, 2024 (* = numbers or wording changed that year)

    5
    If A=[x011]\mathrm{A} = \begin{bmatrix} x & 0 \\ 1 & 1 \end{bmatrix} and B=[40−11]\mathrm{B} = \begin{bmatrix} 4 & 0 \\ -1 & 1 \end{bmatrix}, then value of xx for which A2=B\mathrm{A}^2 = \mathrm{B} is :

    Tap an option to check your answer.

  2. Question 2

    Probability. Asked 2 times: 2022*, 2024 (* = numbers or wording changed that year)

    31
    The chances of P, Q and R getting selected as CEO of a company are in the ratio 4 : 1 : 2 respectively. The probabilities for the company to increase its profits from the previous year under the new CEO, P, Q or R are 0⋅30{\cdot}3, 0⋅80{\cdot}8 and 0⋅50{\cdot}5 respectively. If the company increased the profits from the previous year, find the probability that it is due to the appointment of R as CEO.

  3. Question 3

    Probability. Asked 2 times: 2022*, 2024 (* = numbers or wording changed that year)

    31 (a)
    A card from a well shuffled deck of 52 playing cards is lost. From the remaining cards of the pack, a card is drawn at random and is found to be a King. Find the probability of the lost card being a King.

  4. Question 4

    Probability. Asked 2 times: 2023, 2024

    30
    A pair of dice is thrown simultaneously. If X denotes the absolute difference of the numbers appearing on top of the dice, then find the probability distribution of X.

  5. Question 5

    Three Dimensional Geometry. Asked 2 times: 2023, 2024

    16
    The distance of point P(a, b, c) from y-axis is :

    Tap an option to check your answer.