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O is the centre of a circle. P is an external point of it at a distance of 13 cm from O. The radius of the circle is 5 cm. Then the length of a tangent to the circle from P upto the point of contact is :
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- √194 cm.
- 10 cm.
- 12 cm.
- 8 cm.
- √194 cm.
Correct Option: C
As per the given in question , we draw a figure of circle with centre O and P is an external point of it at a distance of 13 cm from O
Givne that , OT = 5 cm.
OP = 13 cm.
From ∆PTO ,
∴ PT = √OP² - OT²
PT = √13² - 5²
PT = √169 - 25 = √144 = 12 cm.
