The linear constraints for which the shaded region in the figure is the solution set, are Option 1: 2x+y≤2,\ x+2y≤8,\ x-y≤1,\ x,\ y≥0 Option 2: 2x+y≤2,\ x+2y≥8,\ x-y≥1,\ x,\ y≥0 Option 3: 2x+y≥2,\ x+2y≤8,\ x-y≤1,\ x,\ y≥0 Option 4: 2x+y≥2,\ x+2y≥8,\ x-y≥1,\ x,\ y≥0

The answer is '2x+y≥2,\ x+2y≤8,\ x-y≤1,\ x,\ y≥0'. View full solution:

CUET Mathematics - The linear constraints for which the shaded region in the figure is the solution set, are | PYQs + Solutions

CUET Mathematics 2026 22nd May Shift 1

Algebra

Medium

core

$2x+y\le2,\ x+2y\le8,\ x-y\le1,\ x,\ y\ge0$

$2x+y\le2,\ x+2y\ge8,\ x-y\ge1,\ x,\ y\ge0$

$2x+y\ge2,\ x+2y\le8,\ x-y\le1,\ x,\ y\ge0$

$2x+y\ge2,\ x+2y\ge8,\ x-y\ge1,\ x,\ y\ge0$

✅ Correct Option: 3

Related questions:

15 June Shift 2

Match List - I with List - II.

List - I	List - II
(A) The common region determined by all the constraints of LPP is called	(I) objective function
(B) Minimize $z = c_1x_1 + c_2x_2 + ..... + c_nx_n$ is	(II) convex set
(C) A solution that also satisfies the non-negative restrictions of a LPP is called	(III) feasible region
(D) The set of all feasible solutions of a LPP is a	(IV) feasible solution

Choose the correct answer from the options given below :

27 May Shift 1

The feasible region represented by the constraints: $x + 2y \geq 100$ , $2x - y \leq 0$ , $2x + y \leq 200$ , $x \geq 0$ , $y \geq 0$ of an LPP is:

15th May Shift 1

The number of corner points of the feasible region of an LPP determined by the constraints $x - y \geq 0$ , $2y \leq x + 2, x \geq 0, y \geq 0$ is