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Tangent

Definition Of Tangent

A tangent to a curve at a point is a straight line that touches the curve at that point.

Examples of Tangent

The line AB is a tangent to the circle at P.

A tangent line to a circle contains exactly one point of the circle
A tangent to a circle is at right angles to the radius of the circle at its point of contact

Video Examples: Tangents and Circles

Solved Example on Tangent

Ques: Find the number of tangents that can be drawn from a point inside a circle to the circle.

Choices:

A. 1
B. 2
C. infinite
D. 0
Correct Answer: D

Solution:

Step 1: No tangent can be drawn from a point inside a circle to it.