Let ABCD non 0 number if the point of inter section of lice is 4ax+2ay+c=0 and 5dx+5dy+c=0 lines in 4 cordinate and its equadistance from 2 axis is

ATQ, as the point of intersection lies in 4th quadrant then x-coordinate id +ve
and y coordinate is -ve.
also as it is equdistant from both axes so x coordinate = - y coordinate
let it be (t,-t)
=> 3at-2at+c=0 and
=>5bt-2bt+d=0

therefore, -c/2a = -d/3b
so, 3bc-2ad = 0 [ans.]

Cheers!!

Regards,

Vikas (B. Tech. 4^th year
Thapar University)