PYQ Vault

Day 181: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2023 (same type asked 3 times)

    6
    ∫2x+2 dx\int 2^{x+2} \, dx is equal to :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2023 (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) : All trigonometric functions have their inverses over their respective domains. Reason (R) : The inverse of tan⁡−1x\tan^{-1} x exists for some x∈Rx \in \mathbb{R}.

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  3. Question 3

    Matrices. Asked once: 2023 (same type asked 3 times)

    1
    If [111011001][xyz]=[632]\begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 6 \\ 3 \\ 2 \end{bmatrix}, then the value of (2x+y−z)(2x + y - z) is :

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  4. Question 4

    Probability. Asked once: 2023 (same type asked 3 times)

    5
    X and Y are independent events such that P(X∩Y‾)=25P(X \cap \overline{Y}) = \frac{2}{5} and P(X)=35P(X) = \frac{3}{5}. Then P(Y) is equal to :

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  5. Question 5

    Probability. Asked once: 2022 (same type asked 3 times)

    5
    Two balls are drawn at random from a bag containing 2 red balls and 3 blue balls, without replacement. Let the variable X denotes the number of red balls. Find the probability distribution of X.