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प्रश्न
If angle between two tangents drawn from a point P to a circle of radius a and centre O is 60°, then OP = `asqrt(3)`
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
From point P, two tangents are drawn.
Given, OT = a
Also, line OP bisects the ∠RPT.
∴ ∠TPO = ∠RPO = 30°
Also, OT ⊥ PT
⇒ ∠OTP = 90°
In right angled ΔOTP,
sin 30° = `"OT"/"OP"`
⇒ `1/2 = "a"/"OP"`
⇒ OP = 2a
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