Get Started
Start Free Mocks
CUETMOCK

Ace Your

CUET Preparation Today

Start Free Mocks
Home Questions UJ96P28EMS
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The linear inequalities satisfying the shaded feasible region given in the figure are

Options:

$x ≥ 0, y≥0, 2x + y ≥2$

$x ≥ 0, y ≥0, 2x + y ≤2$

$x ≥ 0, y≥0, 2x + y ≥2, x + 2y ≤ 8, x-y≤1$

$x + 2y ≥8, x-y≥1$

Correct Answer:

$x ≥ 0, y≥0, 2x + y ≥2, x + 2y ≤ 8, x-y≤1$

Explanation:

The correct answer is Option (3)

The shaded feasible region lies under or on the lines and between the axes, bounded by the lines:

  • $x + 2y \leq 8$

  • $2x + y \geq 2$

  • $x - y \leq 1$

  • $x \geq 0$

  • $y \geq 0$

These inequalities describe the shaded triangle in the first quadrant, bounded by the three lines and the coordinate axes.

CUET Questions