Mathematics - Hyperbola Question with Solution | TestHub

Case-I $a{x}^2+b{y}^2-c=0$ ellipse $a{x}^2-c{y}^2+b=0$ hyperbola, Then $a,b,c$ have same sign and $a\ne b\Rightarrow 36$ triplets

Case - II $a{x}^2+b{y}^2-c=0$ hyperbola $\&a{x}^2-c{y}^2+b=0$ ellipse then $b,c$ have same sign and $a,c$ have opposite sign and $|a|\ne |c|\Rightarrow 36$ triplets

$\therefore 72$ triplets