Question

Let a,b, c and d be non-zero numbers. If the point of intersection of the lines `4ax + 2ay+c=0` and `5bx+2by +d=0` lies in the fourth quadrant and is equidistant from the two axes, then
A. `3bc-2ab=0`
B. `3bc+2ab=0`
C. `2bc-3ad=0`
D. `2bc+3ad=0`

Answer 1

Correct Answer - A
The equations of the lines are `4ax=2ay+c=0 and , 5bx+2by+d=0` lies in the fourth quadrant and is equidistant from the axes and is in the fourth quadrant . So, it lies on y=-x.
`therefore (4ad-5bc)/(2ab)=-(bc-ad)/(ab) implies 2ad-3bc=0`