Coordinate Geometry

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

  1. 3bc - 2ad = 0
  2. 3bc + 2ad = 0
  3. 2bc + 3ad = 0
  4. 2bc - 3ad = 0

Answer

Let point of intersection is (h, -h)

4ah - 2ah + c = 0

5bh - 2bh + d = 0

-c/2a = -d/3b

The correct option is A.