Question 165

O is the centre of two concentric circles. AE is a chord of the outer circle and it intersects the inner circle at points B and D. C is a point on the chord in between B and D. What is the value of AC/CE?

A. BC/CD=1
B. A third circle intersects the inner circle at B and D and the point C is on the line joining the centres of the third circle and the inner circle.

Solution

Using statement A we know that C is midpoint of both BD and AE . Also using statement B we know that C is midpoint of BD and AE. Hence , the question can be answered by using either statement alone.


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