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Assertion: the slant height of a right cone equals its vertical height. Reason: both are measured from the apex.

  • 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: D

Correct answer: the assertion is false although the reason offered is a true statement in itself

The reason is true - both the slant height and the vertical height are measured from the apex - but they are measured to different places, the slant height to a point on the base circle and the vertical height to the centre of the base. They are two sides of a right triangle, so the slant height always exceeds the vertical height and can never equal it.

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