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Question

AB is a line segment in a plane. The circle passing through the point A intersects the extension of AB at only one point other than A.


A

True

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B

False

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Solution

The correct option is A

True


let us assume that the circle intersects AB at two points C and D

Then ABC=180and ABD should also be 180 and C and D should lie on a circle which can only be possible if C and D coincide.


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