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Assertion: every plane section of a sphere is a circle. Reason: the sphere's surface is everywhere equidistant from its centre.

  • 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 gives the mechanism. Every point of the surface lies at the radius from the centre, so the points lying in a given plane are all at a fixed distance from the foot of the perpendicular from the centre to that plane - which is the definition of a circle in that plane.

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