PYQ Vault

Day 200: CBSE Class 12 Maths

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

  1. Question 1

    Linear Programming. Asked once: 2024 (same type asked 3 times)

    10
    The common region determined by all the constraints of a linear programming problem is called :

    Tap an option to check your answer.

  2. Question 2

    Matrices. Asked once: 2025 (same type asked 3 times)

    3
    If A and B are two square matrices of the same order, then (A+B)(A−B)(A + B)(A - B) is equal to :

    Tap an option to check your answer.

  3. Question 3

    Relations and Functions. Asked once: 2023 (same type asked 3 times)

    33
    Check whether a function f : R→[−12,12]\mathbb{R} \to \left[ -\frac{1}{2}, \frac{1}{2} \right] defined as f(x)=x1+x2f(x) = \frac{x}{1 + x^2} is one-one and onto or not.

  4. Question 4

    Three Dimensional Geometry. Asked once: 2023 (same type asked 3 times)

    22
    If the angle between the lines x−5α=y+2−5=z+245β\frac{x-5}{\alpha} = \frac{y+2}{-5} = \frac{z + \frac{24}{5}}{\beta} and x1=y0=z1\frac{x}{1} = \frac{y}{0} = \frac{z}{1} is π4\frac{\pi}{4}, find the relation between α\alpha and β\beta.

  5. Question 5

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

    22
    Find all the vectors of magnitude 333\sqrt{3} which are collinear to vector i^+j^+k^\hat{i} + \hat{j} + \hat{k}.