If a circles passes through the point (A...

If a circles passes through the point (A,b) and cuts the circle ` x^(2) + y^(2) = 4` orthogonally, then the locus of its centre is

A

`2ax + 2by + (a^(2) + b^(2) + 4) = 0 `

B

` 2ax + 2by - (a^(2) + b^(2) + 4) = 0 `

C

` 2ax - 2by + (a^(2) + b^(2) + 4) = 0`

D

` 2ax - 2by - (a^(2) + b^(2) + 4) = 0 `

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

A circle passes through the points (0,0) and (0,1) and also touches the circle x ^(2) + y ^(2) = 16. The radius of the circle is a)1 b)2 c)3 d)4

The centre and radius of the circle x^(2)+y^(2)-4x+2y=0 are

The circle x ^(2) + y ^(2) + 8y - 4=0, cuts the real circle x ^(2) + y ^(2) + gx + 4=0 orthogonally, if g is :

If (4,0) is a point on the circle x^(2)+ax+y^(2)=0 , then the centre of the circle is at

A circle passes through the point (6, 2). If segments of the straight lines x+y=6andx+2y=4 are two diametres of the circle, then its radius is