The centre of the circle passing through the point 
and orthogonal to the circles 
and 
is
Text Solution
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Let the equation of circle is
…… ..(i)
and passes through point 
Hence, 
…………… (ii)
Circle Eq. (i) is orthogonal to circles
and 
Hence, 
or, 
……………… .(iii)
And, 
…………… .(iv)
On elimination of 
from (ii) and (iii), we get
……… ..(v)
Again on elimination of 
from Eqs. (ii) and (iv), we get 
From Eqs. (v) and (vi), we get
So, centre of circle (i) is 
Hence, option is correct
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