Question

If $3a+2b+6c=0$ the family of straight lines $ax+by+c=0$ passes through a fixed point . find the coordinate of fixed point.

Answer 1

$3a+2b+2c=0$, the family of straight lines $ax+by+c=0$ passes through fixed point.

$3a+2b+2c=0$

$\Rightarrow \frac{3}{2}a+\frac{2}{2}b+c=0$

by comparing with $ax+by+c=0$ we get

$x=\frac{3}{2}y=1$

the intersecting point is $(\frac{3}{2},1)$