CUET Mathematics - The linear inequalities satisfying the shaded feasible region given in the figure are (A) x ≥ 0, y ≥ 0, 2x + y ≥ 2 (B) x ≥ 0, y ≥ 0, 2x + y ≤ 2 (C) x ≥ 0, y ≥ 0, 2x + y ≥ 2, x + 2y ≤ 8, x - y ≤ 1 (D) x + 2y ≥ 8, x - y ≥ 1 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 30 May Shift 2

Algebra

Medium

core

(A) and (C) only

(A) and (B) only

(B) and (C) only

✅ Correct Option: 1

Related questions:

15 May Shift 2

If the corner points of the bounded feasible region for a linear programming problem (LPP) are (0, 2), (3, 0), (6, 0), (6, 8) and (0,8), then which of the following are correct for the objective function $Z = 4x + 5y$ and the corner points of the bounded feasible region are (0, 2), (3, 0), (6, 0), (6, 8) and (0,8), then the minimum value of Z is:

(A) The minimum value of the objective function occurs at (0, 2) and (3, 0) only.

(B) The minimum value of the objective function occurs at the mid-point of the line segment joining the points (0, 2) and (3, 0) only.

(C) The minimum value of the objective function occurs at every point of the line segment joining the points (0, 2) and (3, 0).

(D) The difference between the maximum value and minimum value of the objective function is 60.

Choose the correct answer from the options given below:

30 May Shift 1

The corner points of the bounded feasible region for an LPP are (0, 20), (3,12), (6,8), and (0,15). The objective function is $Z = \alpha + px + qy$ , where $\alpha, p > 0$ . If the maximum of Z occurs at the corner points (3,12) and (6,8), then the relationship between $\alpha$ and $p$ is:

22 May Shift 1

The corner points of the feasible region determined by a system of linear constraints are $(0, 0)$ , $(0, 40)$ , $(20, 40)$ , $(60, 20)$ , $(60, 0)$ . If the objective function is $z = 4x + 3y$ , then which one of the following is true?

CUET Mathematics 2025 30 May Shift 2 PYQs

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