PYQ Vault

Day 160: CBSE Class 12 Maths

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

  1. Question 1

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

    34 (a)
    Find : ∫(3cos⁡x−2)sin⁡x5−sin⁡2x−4cos⁡x  dx\int \frac{(3 \cos x - 2) \sin x}{5 - \sin^2 x - 4 \cos x} \; dx

  2. Question 2

    Linear Programming. Asked once: 2024 (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) : The corner points of the bounded feasible region of a L.P.P. are shown below. The maximum value of Z=x+2yZ = x + 2y occurs at infinite points. Reason (R) : The optimal solution of a LPP having bounded feasible region must occur at corner points.

    Tap an option to check your answer.

  3. Question 3

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

    6
    The number of all scalar matrices of order 3, with each entry −1-1, 0 or 1, is :

    Tap an option to check your answer.

  4. Question 4

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

    1
    A function f:R+→Rf : R_+ \to R (where R+R_+ is the set of all non-negative real numbers) defined by f(x)=4x+3f(x) = 4x + 3 is :

    Tap an option to check your answer.

  5. Question 5

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

    33 (b)
    Given A=[111232112]A = \begin{bmatrix} 1 & 1 & 1 \\ 2 & 3 & 2 \\ 1 & 1 & 2 \end{bmatrix}, find A−1A^{-1}. Use it to solve the following system of equations : x+y+z=1x + y + z = 1 2x+3y+2z=22x + 3y + 2z = 2 x+y+2z=4x + y + 2z = 4