In the adjoining figure, the inequality

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

In the adjoining figure, the inequality representing AB is :

Options:

$14x+8y≤65$

$x+2y ≤9$

$8x+14y ≤65$

$4x+6y ≤29$

Correct Answer:

$8x+14y ≤65$

Explanation:

The correct answer is Option (3) → $8x+14y ≤65$

$OP ⊥ AB$

Slope (OP) = $\frac{\frac{7}{2}}{2}=\frac{7}{4}$

Slope (AB) = $-\frac{4}{7}$

so equation of line → $y-\frac{7}{2}=-\frac{4}{7}(x-2)$

$14y-49=-8x+16$

so $14y+8x=65$

inequality is $14y+8x≤65$