The locus of the centre of a circle of r...

The locus of the centre of a circle of radius 2 which rolls on the outside of the circle `x^(2)+y^(2)+3x-6y-9=0` is

A

`x^(2)+y^(2)+3x- 6y+5= 0`

B

`x^(2) +y^(2)+3x- 6y-31=0`

C

`x^(2)+y^(2)+3x- 6y+ (29)/(4)= 0`

D

None of these

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

Locus of centre of a circle of radius 2, which rolls on the outside of circle x^(2)+y^(2)+3x-6y-9=0 is

The radius of the circle 3x^(2)+3y^(2)+9x+8y-4=0 is

The centre of the circle whose radius is 5 and which touches the circle x^(2)+y^(2)-2x-4y-20=0 at (5,5) is

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

The locus of the centre of the circle which touches externally the circle x^(2)+y^(2)-6x-6y+14=0 and also touches the x-axis is given by the equation