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Question

Under which condition can a secant to a circle be called a tangent?


A

The points of intersection are infinite distance apart.

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B

The secant passes through the centre of the circle.

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C

The points of intersection are coincident.

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D

The secant is a curved line.

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Solution

The correct option is C

The points of intersection are coincident.


Consider a line l which is a secant to a circle with centre O. Let PQ be the points of intersection. If we rotate the secant anticlockwise about the point P, then Q comes closer and closer to the point P and finally the position of Q coincides with P and the secant becomes a tangent at point P.


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