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Consider the relation `4l^(2)-5m^(2)+6l+1=0`, where l, m `inR`. The line lx+my+1=0 touches a fixed circle whose equation is

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Consider the relation `4l^(2)-5m^(2)+6l+1=0`, where l, m `inR`.
The line lx+my+1=0 touches a fixed circle whose equation is
A. `x^(2)+y^(2)-4x-5=0`
B. `x^(2)+y^(2)+6x+6=0`
C. `x^(2)+y^(2)-6x+4=0`
D. `x^(2)+y^(2)+4x-4=0`
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Correct Answer - `x^(2)+y^(2)-6x+4=0`
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