Questions
The locus of the centre of a circle of radius 2 which rolls on the outside of the circle
, is
a
x2+y2+3x−6y+5=0
b
x2+y2+3x−6y−31=0
c
x2+y2+3x−6y+294=0
d
none of these
detailed solution
Correct option is B
Let (h, k) be the coordinates of the centre of the circle which rolls on the outside of the circle x2+y2+3x−6y−9=0 . Then ,Distance between centres = Sum of the radii ⇒ h+322+(k−3)2=92+2⇒ h2+k2+3h−6k+94+9=92+2⇒ h2+k2+3h−6k−31=0 Hence, the locus of f(h,k) is x2+y2+3x−6y−31=0Talk to our academic expert!
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