Circle 2 Question 13

14. If the two circles (x1)2+(y3)2=r2 and x2+y28x+2y+8=0 intersect in two distinct points, then

(1989,2M)

(a) 2<r<8

(b) r<2

(c) r=2

(d) r>2

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Answer:

Correct Answer: 14. (c)

Solution:

  1. As, the two circles intersect in two distinct points.

Distance between centres lies between |r1r2| and |r1+r2|

 i.e. |r3|<(41)2+(13)2<|r+3||r3|<5<|r+3|r<8 or r>22<r<8



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