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Point A lies on a circle whose center is at point C. Does

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Source: — Data Sufficiency |
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by swerve » Wed Apr 24, 2019 10:34 am

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Your Answer

A

B

C

D

E

Global Stats

1) \(BC\) is the hypotenuse of right triangle \(ABC\), where \(AC\) is the radius. So angle will be right angle since opposite to \(BC\). The only possible way it can happen is if \(B\) lies on a tangent to point \(A\). Hence \(B\) lies out of the circle. Sufficient.

2) Suppose \(B\) is on the circle, then \(A\) and \(B\) both will be radius, the triangle \(ABC\) will be an isosceles triangle. With angle \(A\) and \(B\) equal for angle \(A\) to be bigger, you have to increase \(BC\), so \(B\) has to lie outside the circle. Sufficient.

Therefore, the correct answer is __D__.
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