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The circles $x^{2} + y^{2} - 10 x + 16 = 0$ and $x^{2} + y^{2} = r^{2}$ intersect each other in two distinct points if

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r<2

r<8

2≤r≤8

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Correct option is C

Centres of the given circles are C1(5,0) and C2(0,0) and their radii are r1=3 and r2=r respectively. For the circles to intersect at two distinct points, we must have r1−r22⇒2

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The circles x2+y2−10x+16=0 and x2+y2=r2 intersect each other in two distinct points if

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The circles $x^{2} + y^{2} - 10 x + 16 = 0$ and $x^{2} + y^{2} = r^{2}$ intersect each other in two distinct points if