A straight line that passes through any point on the circumference of the circle is called a tangent of the circle.
A straight line can be passed through a circle in geometric system but in a special case, a straight line passes through a point of the circumference of the circle.
The straight line at that point is known as a tangent of the circle.
A circle consists of point $T$ as a point on its circumference.
A straight line $\overleftrightarrow{RS}$ is passed through the point $T$. So, the straight line $\overleftrightarrow{RS}$ at point $T$ is called a tangent of the circle geometrically.
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