PYQ Vault

Day 204: CBSE Class 12 Maths

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

  1. Question 1

    Integrals. Asked once: 2025 (same type asked 2 times)

    14
    ∫e−x16+9e−2x dx\displaystyle\int \dfrac{e^{-x}}{16 + 9e^{-2x}}\, dx is equal to :

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  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 2 times)

    18
    The graph of a trigonometric function is as shown. Which of the following will represent graph of its inverse ?

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  3. Question 3

    Matrices. Asked once: 2025 (same type asked 2 times)

    4
    The matrix A=[300020005]A = \begin{bmatrix} \sqrt{3} & 0 & 0 \\ 0 & \sqrt{2} & 0 \\ 0 & 0 & \sqrt{5} \end{bmatrix} is a/an :

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  4. Question 4

    Matrices. Asked once: 2024 (same type asked 2 times)

    1
    If [ac0bd0005]\begin{bmatrix} a & c & 0 \\ b & d & 0 \\ 0 & 0 & 5 \end{bmatrix} is a scalar matrix, then the value of a+2b+3c+4da + 2b + 3c + 4d is :

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  5. Question 5

    Relations and Functions. Asked once: 2024 (same type asked 2 times)

    1
    A function f:R→Rf : \mathbb{R} \to \mathbb{R} defined as f(x)=x2−4x+5f(x) = x^2 - 4x + 5 is :

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