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The circles x ^2+ y ^2-10 x +16=0 and x ^2+ y ^2= a ^2 intersect at two distinct points if

Correct answer

1

Step-by-step solution

Hints : C₁(5,0) r₁= 25-16 =3 aligned & C ₂(0,0) r ₂= a & r ₁ & r ₂ < C ₁ C ₂ < r ₁+ r ₂ & | a -3| < 25 < a +3 & | a -3| < 5 < a +3 & -5 < a -3 < 5 & -2 < a < 8 & 2 < a < 8 aligned

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