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A tangent is drawn to a circle of radius 6 cm from a point situated at a distance of 10 cm from the centre of the circle. The length of the tangent will be
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- 7 cm
- 4 cm
- 5 cm
- 8 cm
- 7 cm
Correct Option: D
On the basis of question we draw a figure of a circle with centre O
AB is a tangent. OB is radius of circle.
OB ⊥ AB
OB = 6 cm.
OA = 10 cm.
∴ AB = √OA² - OB²
AB = √10² - 6² = √100 - 36
AB = √64 = 8 cm.