Allied & ICAR Exam Bank • ALLIED_1741 MCQ • 2 Marks

Section 8: General Aptitude

Quantitative Aptitude

Subtopic: Numerical Computation

Question Statement:

The equation of the line perpendicular to $2x - 3y + 5 = 0$ and passing through $(1, 2)$ is:

Options:

  • (A) $3x + 2y - 7 = 0$
  • (B) $3x - 2y + 1 = 0$
  • (C) $2x + 3y - 8 = 0$
  • (D) $3x + 2y - 5 = 0$

Answer Key:

A

Step-by-Step Solution & Explanation

Given line slope $m = 2/3$. Perpendicular slope $m' = -3/2$. Equation: $y - 2 = -3/2(x - 1) \implies 2y - 4 = -3x + 3 \implies 3x + 2y - 7 = 0$.
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