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Question
The equations of two sides of a square are 5x − 12y − 65 = 0 and 5x − 12y + 26 = 0. Find the area of the square.
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Solution
The sides of a square are
5x − 12y − 65 = 0 ... (1)
5x − 12y + 26 = 0 ... (2)
We observe that lines (1) and (2) are parallel. So, the distance between them will give the length of the side of the square.
Let d be the distance between the given lines.
= 49 square units
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