Multiple choice

difference between the chord of contact with respect to point (0,0) and(g,f) of circle ${ x }^{ 2 }+{ y }^{ 2 }+2gx+2fy+c=0$

$\frac { 1 }{ 2 } \left( { g }^{ 2 }+{ f }^{ 2 }+c \right) $
${ g }^{ 2 }+f^{ 2 }$
$\frac { { g }^{ 2 }+{ f }^{ 2 }+c }{ 2\sqrt { { g }^{ 2- }{ f }^{ 2 } } } $
$\frac { { g }^{ 2 }+{ f }^{ 2 }-c }{ 2\sqrt { { g }^{ 2 }+{ f }^{ 2 } } }$

Reveal answer Fill a bubble to check yourself