Question

Say true or false:

If $a{x}^2+2hxy+b{y}^2+2gx+2fy+c\equiv (l_{1}x+m_{1}y+n_1)(l_{2}x+m_{2}y+n_2)$, then $\left|\begin{array}{ccc}a& h& g\\ h& b& f\\ g& f& c\end{array}\right|=0$

• A. True
• B. False

Answer 1

The correct option is A True

$a{x}^2+2hxy+b{y}^2+2gx+2fy+c$
Represent pair of line when $\left|\begin{array}{ccc}a& h& g\\ h& b& f\\ g& f& c\end{array}\right|=0$