jee-main 2014 Q69

jee-main · India · 06apr Straight Lines & Coordinate Geometry Collinearity and Concurrency

Let $a , b , c$ and $d$ be non-zero numbers. If the point of intersection of the lines $4 a x + 2 a y + c = 0$ \& $5 b x + 2 b y + d = 0$ lies in the fourth quadrant and is equidistant from the two axes then
(1) $3 b c - 2 a d = 0$
(2) $3 b c + 2 a d = 0$
(3) $2 b c - 3 a d = 0$
(4) $2 b c + 3 a d = 0$

Let $a , b , c$ and $d$ be non-zero numbers. If the point of intersection of the lines $4 a x + 2 a y + c = 0$ \& $5 b x + 2 b y + d = 0$ lies in the fourth quadrant and is equidistant from the two axes then\\
(1) $3 b c - 2 a d = 0$\\
(2) $3 b c + 2 a d = 0$\\
(3) $2 b c - 3 a d = 0$\\
(4) $2 b c + 3 a d = 0$

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