PYQ Vault

Day 95: 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)

    34 (a)
    Find : ∫cos⁡x(4+sin⁡2x)(5−4cos⁡2x) dx\int \frac{\cos x}{(4 + \sin^2 x)(5 - 4\cos^2 x)}\, dx

  2. Question 2

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

    22
    Evaluate : ∫0π/41+sin⁡2x  dx\displaystyle\int_0^{\pi/4} \sqrt{1 + \sin 2x}\;dx

  3. Question 3

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

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    20
    Assertion (A) : Every point of the feasible region of a Linear Programming Problem is an optimal solution. Reason (R) : The optimal solution for a Linear Programming Problem exists only at one or more corner point(s) of the feasible region.

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  4. Question 4

    Matrices. Asked once: 2025 (same type asked 2 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) : A=diag [ 3  5  2 ]A = \text{diag}\,[\,3\ \ 5\ \ 2\,] is a scalar matrix of order 3×33 \times 3. Reason (R) : If a diagonal matrix has all non-zero elements equal, it is known as a scalar matrix.

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  5. Question 5

    Relations and Functions. Asked once: 2025 (same type asked 2 times)

    9
    If f:N→Wf : N \to W is defined as f(n)={n2,if n is even0,if n is oddf(n) = \begin{cases} \frac{n}{2}, & \text{if } n \text{ is even} \\ 0, & \text{if } n \text{ is odd} \end{cases}, then f is :

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