PYQ Vault

Day 85: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked once: 2024 (same type asked 3 times)

    2
    If a matrix has 36 elements, the number of possible orders it can have, is :

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  2. Question 2

    Matrices. Asked once: 2025 (same type asked 3 times)

    6
    If [x+y3y3xx+3]=[94x+yx+6y]\begin{bmatrix} x + y & 3y \\ 3x & x + 3 \end{bmatrix} = \begin{bmatrix} 9 & 4x + y \\ x + 6 & y \end{bmatrix}, then (x−y)=?(x - y) = ?

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  3. Question 3

    Matrices. Asked once: 2025 (same type asked 3 times)

    26
    If A=[1−10]A = \begin{bmatrix} 1 & -1 & 0 \end{bmatrix}, B=[201−134051]B = \begin{bmatrix} 2 & 0 & 1 \\ -1 & 3 & 4 \\ 0 & 5 & 1 \end{bmatrix} and C=[234]C = \begin{bmatrix} 2 \\ 3 \\ 4 \end{bmatrix}, are three matrices, then find ABC.

  4. Question 4

    Matrices. Asked once: 2024 (same type asked 3 times)

    3
    If A=[21−4−2]A = \begin{bmatrix} 2 & 1 \\ -4 & -2 \end{bmatrix}, then the value of I−A+A2−A3+…I - A + A^2 - A^3 + \ldots is :

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  5. Question 5

    Probability. Asked once: 2025 (same type asked 3 times)

    18
    A coin is tossed and a card is selected at random from a well shuffled pack of 52 playing cards. The probability of getting head on the coin and a face card from the pack is :

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