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Assertion: a sphere's orientation cannot be determined from its orthographic views. Reason: every view of a sphere is an identical circle.

  • 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 is the whole of the explanation. Since every orthographic view of a sphere is the same circle of the same diameter, no view contains anything that would change if the sphere were turned, and so nothing on the drawing records an orientation. A sphere has no axis, base or face to fix one.

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