Let a, b, c and be non-zero real numbers, if the point of intersection of the lines 4 a x+2 a y+c=0 and 5 b x+2 b y+d=0 lies in the 4^ th quadrant and is equidistant from the two axes, then

Step-by-step solution

aligned & form (i) b-( ii ) a & array c 4 a b x+2 a b y+c b=0 5 a b x+2 a b y+a d=0 - - - -a b x+c b-a d=0 x= c b-a d a b array aligned Putting value of x in (i) we get y= 4 a d-5 c b 2 a b aligned & A / Q x=-y & c b-a d a b =- 4 a d-5 c b 2 a b & 2 a d-3 b c=0 aligned