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Question
Question 3
The length of tangents from an external point P on a circle with centre O is always less than OP.
The length of tangents from an external point P on a circle with centre O is always less than OP.
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Solution
True
PT is a tangents 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 of the two sides of the triangle.
∴ OP > PT
Or PT < OP
PT is a tangents 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 of the two sides of the triangle.
∴ OP > PT
Or PT < OP
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