AB is a diameter of a circle. C is a point on the tangent

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AB is a diameter of a circle. C is a point on the tangent drawn at A. If AB = 8 cm and AC = 6 cm, then the length of BC is :

1. 10 cm.
2. 14 cm.
3. 5 cm.
4. 7 cm.

Correct Option: A

On the basis of question we draw a figure of a circle with centre O ,

Given that , AB = 8 cm and AC = 6 cm
AB ⊥ AC
∴ ∠BAC = 90°
From ∆ BAC ,
∴ BC = √AB² + AC²
BC = √8² + 6²
BC = √64 + 36 = √100 = 10 cm.