Question

The length of the tangent from an external point $ P$ on a circle with center $ O$ is always less than $ OP$. Write ‘True’ or ‘False’ and justify your answer.

• A. True
• B. False

Answer 1

The correct option is A True

Explanation.

As we know, A tangent is always perpendicular to the radius of the circle at the point of contact.

Therefore, In the given figure, $∆OPT$ is a right-angle triangle.

The opposite side to the right angle is known as hypotenuse.

Since the hypotenuse is the longest side of the right-angle triangle.

$\therefore OP>PT$

Hence, the given statement is true.