The equation $3x^2+10xy-8y^2=0$ represents 

$h^2>ab\text{ Given Equation }3x^2+10XY-8Y^2=0$
$\text{ Comparing with }a{x}^2+2hxy+b{y}^2=0$
$\begin{array}{l}a=3,2h=10\Rightarrow h=5,b=-8\\ \therefore h^2=25,ab=3(-8)=-24\\ \therefore h^2>ab\end{array}$
The equation represents real and distinct lines.