Bunuel wrote:

How far is point C from point B, which touches the circle as shown in the figure?

(1) The radius of the circle is 5 units.

(2) Point C is 10 units away from the center of the circle.

Both statements are alone insufficient.

Combined, we have OBC is a right angled triangle with OB=5 , OC=10. (Refer enclosed diagram)

BC can be calculated using Pythagoras principle.

Sufficient.

Ans. (C)

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Regards,

PKN

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