tangents ab and ac are drawn to the circle x^2+y^2-2x+4y+1=0 from a(0,1) then equation of circle passing through a,b and c is

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We havex2+y2-2x+4y+1=0Circle pass through A0,1 and chord of contact of given circleEquation of chord of contact is T=0xx1+yy1-x+x1+2y+y1+1=0x1,y1=0,10+y-x+0+2y+1+1=03y-x+3=0Equation of circle passing chord and circle is S+λL=0x2+y2-2x+4y+1+λ3y-x+3=0...iRequired Circle passes through 0,10+1-0+4+1+λ3+3=0λ=-1Put in i x2+y2-2x+4y+1-13y-x+3=0x2+y2-x+y-2=0

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