Question

The length of intercept, made by the circle $x^2+y^2+10x-6y+9=0$ on the $x-$axis is units

Answer 1

Comparing the given equation with $x^2+y^2+2gx+2fy+c=0$, we get
$g=5,f=-3$ and $c=9$.
$\therefore$ Length of intercept on $x$-axis $=2\sqrt{g^2-c}$
$=2\sqrt{(5{)}^2-9}$
$=8$ units