PYQ Vault

Day 117: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. Asked once: 2026 (same type asked 3 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : If A and B are two square matrices such that AB and BA are defined, then it is not necessary that AB = BA. Reason (R) : Product of two diagonal matrices of same order is commutative.

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  2. Question 2

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

    26
    Let A=[14−2]A = \begin{bmatrix} 1 \\ 4 \\ -2 \end{bmatrix} and C=[34212168−6−8−4]C = \begin{bmatrix} 3 & 4 & 2 \\ 12 & 16 & 8 \\ -6 & -8 & -4 \end{bmatrix} be two matrices. Then, find the matrix B if AB=CAB = C.

  3. Question 3

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

    25 (b)
    In a village of 8000 people, 3000 go out of the village to work and 4000 are women. It is noted that 30% of women go out of the village to work. What is the probability that a randomly chosen individual is either a woman or a person working outside the village ?

  4. Question 4

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

    32 (a)
    Show that a function f:R→Rf : R \to R defined by f(x)=2x1+x2f(x) = \dfrac{2x}{1 + x^2} is neither one-one nor onto. Further, find set A so that the given function f:R→Af : R \to A becomes an onto function.

  5. Question 5

    Relations and Functions. Asked once: 2026 (same type asked 3 times)

    12
    A relation R on set A = {1,2,3}\{1, 2, 3\} defined as R = {(1,2),(2,1),(2,2)}\{(1, 2), (2, 1), (2, 2)\} is

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