Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

A point $P(3a,-2b)$ lies in region $4x+7y≤(-3)$ which of the following options is true ?

Options:

$14b-12a≥3$

$14a-12b≥3$

$12a-14b≥3$

$12b+14a≤-3$

Correct Answer:

$14b-12a≥3$

Explanation:

The correct answer is Option (1) → $14b-12a≥3$

Inequality equation,

$4x+7y≤-3$

$P(3a,-2b)$ is,

$4(3a)+7(-2b)≤-3$

$12a-14b≤-3$

$14b-12a≥3$