PYQ Vault

Day 68: CBSE Class 12 Maths

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

  1. Question 1

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

    2
    Domain of f(x)=cos⁡−1x+sin⁡xf(x) = \cos^{-1} x + \sin x is :

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  2. Question 2

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

    31
    Solve the following linear programming problem graphically : Maximize Z=4500x+5000yZ = 4500x + 5000y Subject to constraints x+y≤250x + y \leq 250 25x+40y≤700025x + 40y \leq 7000 x≥0x \geq 0, y≥0y \geq 0

  3. Question 3

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

    24
    For a Linear Programming Problem, find min Z=5x+3yZ = 5x + 3y (where Z is the objective function) for the feasible region shaded in the given figure. (Note : The figure is not to scale)

  4. Question 4

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

    31
    For the given graph of a Linear Programming Problem, write all the constraints satisfying the given feasible region.

  5. Question 5

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

    15
    In the graph, the feasible region representing the Linear Programming Problem for maximising objective function Z=px+qyZ = px + qy, p,q>0p, q > 0 is shaded. If all points on segment AB give max (Z), then which of the following is true ?

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