Engineering
Mathematics
Various Form of a Straight Line
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
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Solution
Solving both the lines get
(Using cross multiplication method)
Now, x + y = 0 ⇒ 2ad – 3bc = 0