The two circles x^2+y^2=r^2 and x^2+y^2-10x+16=0 intersect at two distinct points. Then which one of the following is correct?

NDA 2017 Mathematics question

The two circles and intersect at two distinct points. Then which one of the following is correct?

Answer: (A)

The second circle is : centre , radius 3. The distance between the centres

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Question ID VK-028625