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,OT⊥PT InrightangledΔOTP. Sin30∘=OTOP ⇒12=aOP ⇒OP=2a