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Question

The shortest distance between a circle and an external point is r. The radius of the circle is also 'r'. What is the length of tangent from that point to the circle?


A

r

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B

2r

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C

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D

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Solution

The correct option is D


The given problem is represented by the circle, Let the external point be P. Shortest distance between P

and circle is PQ where Q is the point of intersection between PO and circle.

Given that,

PQ=r.

Now in OPRORP=90

PR2=r2+(2r)2

PR=5r25r.


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