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CAT-2007-Previous Years Paper

Question
14 out of 25
 

Two circles with centres P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees?



A Between 0 and 60

B Between 0 and 75

C Between 0 and 45

D Between 0 and 90

E Between 0 and 30

Ans. A

P and Q do not lie within intersection of the circles. The extreme case can be that they lie on the circumference of the other circle as shown in the figure.

In this case will be an equilateral triangle.

Therefore, m is more than 60º, then P and Q will lie within the intersection of the circles.

CAT-2007-Previous Years Paper Flashcard List

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