08. Straight Lines question bank (Mathematics)

Let $a, b, c$ and $d$ be non-zero real numbers. If the point of intersection of the lines $4ax + 2ay + c = 0$ and $5bx + 2by + d = 0$ lies in the $4^{\text{th}}$ quadrant and is equidistant from the two axes,then:

If $2a + b + 3c = 0$,then the line $ax + by + c = 0$ passes through the fixed point that is