PYQ Vault

Day 53: CBSE Class 12 Maths

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

  1. Question 1

    Matrices. This type asked 2 times: 2024, 2026. This one: 2026

    8
    If A=[tan⁡xcot⁡x−cot⁡xtan⁡x]A = \begin{bmatrix} \tan x & \cot x \\ -\cot x & \tan x \end{bmatrix} and A+A′=2IA + A' = 2I, then value of x∈[0,π2]x \in \left[0, \dfrac{\pi}{2}\right] is

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  2. Question 2

    Matrices. This type asked 2 times: 2023, 2026. This one: 2026

    2
    If A is a square matrix such that A2=AA^2 = A, then (A−I)3−A(A - I)^3 - A is equal to :

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  3. Question 3

    Matrices. This type asked 2 times: 2025, 2026. This one: 2026

    6
    If A=[aij]3×3A = [a_{ij}]_{3 \times 3} is a scalar matrix then which of the following must be true ?

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  4. Question 4

    Probability. This type asked 2 times: 2022, 2026. This one: 2026

    31 (b)
    Mother, Father and Son line up at random for a family picture. Let events E : Son on one end and F : Father in the middle. Find P(E/F)P(E/F).

  5. Question 5

    Relations and Functions. This type asked 2 times: 2023, 2026. This one: 2026

    21 (a)
    Check whether f:R−{3}→Rf : R - \{3\} \to R defined as f(x)=x−2x−3f(x) = \dfrac{x - 2}{x - 3} is onto or not.