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Assertion: a circle inclined to the plane of projection projects as an ellipse. Reason: the diameter along the axis of tilt is unchanged while that across it foreshortens.

  • A.the assertion is true but the reason given for it is false
  • B.the assertion is false although the reason offered is a true statement in itself
  • C.both the assertion and the reason are true and the reason explains the assertion
  • D.both the assertion and the reason are true but the reason does not explain the assertion

Answer: C

Correct answer: both the assertion and the reason are true and the reason explains the assertion

Both are true and the reason gives the mechanism precisely. Tilting shortens dimensions measured across the axis of tilt by the cosine of the angle and leaves those along it untouched, so the circle’s diameters are affected unequally and the figure becomes an ellipse - with the true diameter as the major axis and its foreshortened counterpart as the minor.

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