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Assertion: a line inclined to both principal planes shows its true length in neither view. Reason: each projection foreshortens a line not parallel to that plane.

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

Answer: A

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

Both are true and the reason is the whole of the explanation. Orthographic projection preserves length only along directions parallel to the plane of projection, so a line not parallel to a given plane is shortened in that view. A line inclined to both principal planes is parallel to neither, so both views shorten it and an auxiliary parallel to the line is needed.

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