PYQ Vault

Day 257: CBSE Class 12 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Linear Programming. Asked once: 2025 (same type asked 4 times)

    26
    Solve the following linear programming problem graphically : Maximize Z=8x+9yZ = 8x + 9y Subject to the constraints : 2x+3y≤62x + 3y \leq 6 3x−2y≤63x - 2y \leq 6 y≤1y \leq 1 x≥0x \geq 0, y≥0y \geq 0

  2. Question 2

    Matrices. Asked once: 2024 (same type asked 4 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) : For any symmetric matrix A, B'AB is a skew-symmetric matrix. Reason (R) : A square matrix P is skew-symmetric if P′=−PP' = -P.

    Tap an option to check your answer.

  3. Question 3

    Integrals. Asked once: 2023 (same type asked 4 times)

    28
    Evaluate : ∫1e14x2−(xlog⁡x)2 dx\int_{1}^{e} \frac{1}{\sqrt{4x^2 - (x \log x)^2}} \, dx

  4. Question 4

    Integrals. Asked once: 2023 (same type asked 4 times)

    26
    Find : ∫2(1−x)(1+x2) dx\displaystyle\int \dfrac{2}{(1 - x)(1 + x^2)}\, dx

  5. Question 5 (case study, 2 parts)

    Probability. Asked once: 2022 (same type asked 4 times)

    At the start of a cricket match, a coin is tossed and the team winning the toss has the opportunity to choose to bat or bowl. Such a coin is unbiased with equal probabilities of getting head and tail. Based on the above information, answer the following questions :
    14 (a)
    If such a coin is tossed 2 times, then find the probability distribution of number of tails.
    14 (b)
    Find the probability of getting at least one head in three tosses of such a coin.