Allied & ICAR Exam Bank • ALLIED_2656 NAT • 2 Marks

Section 1: Engineering Mathematics

Calculus

Subtopic: Maxima and minima of function with several independent variables

Question Statement:

The shortest distance from the origin $(0, 0)$ to the straight line $3x + 4y = 25$ is:

Answer Key:

5

Step-by-Step Solution & Explanation

Perpendicular distance formula: $d = \frac{|a x_0 + b y_0 + c|}{\sqrt{a^2 + b^2}} = \frac{|0 + 0 - 25|}{\sqrt{3^2 + 4^2}} = \frac{25}{5} = 5$.
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