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Question 6
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60 , then OP = a
3.

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Solution

False

From point P, two tangents PT and PR are drawn.
Given:Radius = a
Also, line OP bisects the RPT
TPO=RPO=30
Also, OTPT
In right angled ΔOTP.
Sin30=OTOP
12=aOP
OP=2a



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