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Q.

The number of tangents a circle can have is,

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a

One

b

Finite

c

Two

d

infinite

answer is D.

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Detailed Solution

We need to find the number of tangents a circle can have.
The tangent to a circle is a special case of the secant when the two endpoints of its corresponding chord coincide.
A tangent to a circle is a line that intersects the circle at only one point therefore there is only one tangent at a point of the circle.
It is a special case of the secant when the two endpoints of its corresponding chord coincide and is perpendicular to the radius through the point of contact and also lengths of tangents drawn from an external point to a circle are equal.
Thus, a circle can have infinitely many tangents.
Therefore the correct option is 4.

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