Allied & ICAR Exam Bank • ALLIED_2415 MCQ • 2 Marks

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

A parabolic drainage channel profile is defined by y = x^2 - 4. What is the equation of its water image reflected across the horizontal surface line y = 2?

Options:

  • (A) y = -x^2 + 8
  • (B) y = -x^2
  • (C) y = x^2 + 8
  • (D) y = -x^2 + 4

Answer Key:

A

Step-by-Step Solution & Explanation

Reflecting y = f(x) across y = c gives y' = 2c - f(x). Here c = 2, so y' = 2(2) - (x^2 - 4) = 4 - x^2 + 4 = -x^2 + 8.
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