Question

Show that the circle x square+ y square-2x=0 and x square+ y square +6x-6y+2=0 touch each other and find the point of contact is it external or internal

Answer 1

x2+y2+6x=0

C1:(−3,0)r1=3

x2+y2−2x=0

c2(1,0)r1=1

check

(i) when touch externally

Then, c1c2=r1+r2

(4)2co2=3+4

4=7

So, Circle touch externally 

each other

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