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Question
The length of tangent from an external point P on a circle with centre O is always less than OP.
Options
True
False
Solution
This statement is True.
Explanation:
PT is a tangent drawn from external point P.
Join OT.
∵ OT ⊥ PT
So, OPT is a right-angled triangle formed.
In right-angled triangle, hypotenuse is always greater than any two of the two sides of the triangle.
∴ OP > PT
or PT < OP
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