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The length of a tangent from an external point to a circle is 5√3 unit. If radius of the circle is 5 units, then the distance of the point from the circle is
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- 5 units
- 15 units
- -5 units
- -15 units
- 5 units
Correct Option: A
On the basis of question we draw a figure of a circle with centre O ,
Given that , AB = 5√3 units
OA = 5 units
∠ OAB = 90°
∴ OB = √AB² + OA²
OB = √(5√3)² + 5²
OB = √75 + 25
OB = √100 = 10 units
∴ BC = OB – OC = 10 – 5 = 5 units