PYQ Vault

Day 105: CBSE Class 12 Maths

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

  1. Question 1

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 4 times)

    33
    Find the domain of q(x)=cos⁡−1(4x2−3)q(x) = \cos^{-1} (4x^2 - 3). Hence, find the value of xx for which q(x)=0q(x) = 0. Also, write the range of 3q(x)−π3q(x) - \pi.

  2. Question 2

    Inverse Trigonometric Functions. Asked once: 2026 (same type asked 4 times)

    3
    The principal value of sec⁡−1(2)+2cosec⁡−1(−2)\sec^{-1}\left(\sqrt{2}\right) + 2\operatorname{cosec}^{-1}\left(-\sqrt{2}\right) is :

    Tap an option to check your answer.

  3. Question 3

    Inverse Trigonometric Functions. Asked once: 2025 (same type asked 4 times)

    1
    The principal branch of cos⁡−1x\cos^{-1} x is :

    Tap an option to check your answer.

  4. Question 4

    Linear Programming. Asked once: 2026 (same type asked 4 times)

    30
    Solve the following linear programming problem graphically : Maximize Z=10500x+9000yZ = 10500x + 9000y Subject to constraints x+y≤50x + y \leq 50 2x+y≤802x + y \leq 80 x,y≥0x, y \geq 0

  5. Question 5

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

    31
    Solve the following Linear Programming Problem graphically : Minimise Z=3x+5yZ = 3x + 5y subject to the constraints x+2y≥10x + 2y \ge 10 x+y≥6x + y \ge 6 3x+y≥83x + y \ge 8 x,y≥0x, y \ge 0