Statement-1 : If the general equation \(x^2+y^2+2 x y+2 g x+2 f y+4=0\) represents a pair of real lines then \(|g| \geq …

Statement-1 : If the general equation \(x^2+y^2+2 x y+2 g x+2 f y+4=0\) represents a pair of real lines then \(|g| \geq 2\).
Statement-2 : The equation \(\mathrm{ax}^2+2 \mathrm{hxy}+\mathrm{by}^2+2 \mathrm{gx}+2 \mathrm{fy}+\mathrm{c}=0\) represents pair of real lines if \(abc +2 \mathrm{fgh}-\mathrm{af}^2-\mathrm{bg}^2-\mathrm{ch}^2=0\).