If two sides of a square are along `5x-12y + 26 = 0` and `5x-12y-65 = 0` then find its area.

Explanation

Two side of square are` 5x – 12y – 65 = 0` and `5x – 12y + 26 = 0`

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.

`d=(-65-26)/(sqrt(5^2+(-12)^2))`

d=7units
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