Allied & ICAR Exam Bank • ALLIED_1490 MCQ • 1 Mark

Section 8: General Aptitude

Analytical & Spatial Aptitude

Subtopic: Spatial Reasoning & 3D Representations

Question Statement:

Two identical solid right circular cylinders of equal radius R intersect each other at right angles such that their central axes meet perpendicularly. What is the planar projection of the intersection curve along an axis perpendicular to both cylinder axes?

Options:

  • (A) Two intersecting straight line segments forming an 'X'
  • (B) A single circle of radius R
  • (C) A parabola
  • (D) A square

Answer Key:

A

Step-by-Step Solution & Explanation

The curve of intersection of two perpendicular equal-diameter cylinders projects onto the plane of their axes as two intersecting straight lines forming an 'X' (or planar ellipses in 3D).
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