PYQ Vault

Day 107: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked once: 2026 (same type asked 4 times)

    2
    If A is a symmetric matrix, then for any matrix B of order same as A, BAB′BAB' is a/an :

    Tap an option to check your answer.

  2. Question 2

    Matrices. Asked once: 2026 (same type asked 4 times)

    27
    If A=[320140005]A = \begin{bmatrix} 3 & 2 & 0 \\ 1 & 4 & 0 \\ 0 & 0 & 5 \end{bmatrix}, then compute A2−7A+10 IA^2 - 7A + 10\,I.

  3. Question 3

    Matrices. Asked once: 2026 (same type asked 4 times)

    2
    If A=[aij]A = [a_{ij}] is a 2×22 \times 2 matrix whose elements are given by aij=∣i−3j∣2a_{ij} = \dfrac{|i - 3j|}{2}, then A′A' is :

    Tap an option to check your answer.

  4. Question 4

    Probability. Asked once: 2025 (same type asked 4 times)

    31
    Bag I contains 4 white and 5 black balls. Bag II contains 6 white and 7 black balls. A ball drawn randomly by from bag I is transferred to bag II and then a ball is drawn randomly from bag II. Find the probability that the ball drawn is white.

  5. Question 5

    Probability. Asked once: 2025 (same type asked 4 times)

    29 (a)
    Consider the experiment of tossing a coin. If the coin shows head, toss it again; but if it shows a tail, then throw a die. Find the conditional probability of the event A : 'the die shows a number greater than 3' given that B : 'there is at least one tail'.