CUET Mathematics - Which one of the following set of constraints does the given shaded region represent? | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Algebra

Medium

core

$x + y \leq 30, x + y \geq 15, x \leq 15, y \leq 20, x, y \geq 0$

$x + y \leq 30, x + y \geq 15, y \leq 15, x \leq 20, x, y \geq 0$

$x + y \geq 30, x + y \leq 15, x \leq 15, y \leq 20, x, y \geq 0$

$x + y \geq 30, x + y \leq 15, y \leq 15, x \leq 20, x, y \geq 0$

✅ Correct Option: 1

Related questions:

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Match List-I with List-II

List-I	List-II
(A) Corner point of a feasible region	(I) The line segment joining any two arbitrary points of the region always lies entirely within the region
(B) Bounded feasible region	(II) can not be enclosed within a circle
(C) Unbounded feasible region	(III) can be enclosed within a circle
(D) Convex region	(IV) Is a point of intersection of two boundary lines in the feasible region

Choose the correct answer from the options given below:

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For the given linear programming problem $z = ax + by; a, b > 0$ subject to the constraints $2x + y \leq 10, x + 3y \leq 15, x, y \leq 0$ . If the corner points are (0,0), (5,0), (3,4) and (0,5) and z is maximum at both (3,4) and (0,5), then the relationship between a and b is

CUET Mathematics 2025 14 May Shift 1 PYQs

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