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Number of Tangents

Dear All

Today a student asked me a question: How many tangents can we draw at a point on a sphere? We are well aware that to a point on a circle, the answer is ONE.
You may imagine a football (sphere) lying on the floor (tangent plane).
What are your views? Do share.

3 comments:

  1. sir,
    i think for a point on a sphere there has to be a single tangential plane or infinite tangential lines lying on the same plane.

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  2. Infinite no. of tangents for the infinite no of circles passing thru the point of contact of ground n football....

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