Solveeit Logo

Question

Question: The locus of the centre of a circle radius 2 which rolls on the outside of the circle x<sup>2</sup> ...

The locus of the centre of a circle radius 2 which rolls on the outside of the circle x2 + y2 + 3x – 6y – 9 = 0 is –

A

x2 + y2 + 3x – 6y + 5 = 0

B

x2 + y2 + 3x – 6y + 31 = 0

C

x2 + y2 + 3x – 6y + 294\frac{29}{4} = 0

D

None of these

Answer

x2 + y2 + 3x – 6y + 31 = 0

Explanation

Solution

If centre of the circle which rolls outside the given circle be (h, k), then distance between the centres = sum of radii.