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Q.

The circles x2+y212x+8y+48=0,  x2+y24x+2y+4=0

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a

Touch internally

b

Touch externally

c

Intersecting at two points

d

Are such that one completely lies outside the other

answer is D.

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Detailed Solution

C1=(6,4);  C2=(2,1)

r1=36+1648=2;  r2=4+14=1

C1C2=(26)2+(1+4)2

=16+9=5

C1C2>r1+r2

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The circles x2+y2−12x+8y+48=0,  x2+y2−4x+2y+4=0