Suppose the two sides of a square are along the straight lines 6x - 8y = 15 and 4y - 3x = 2. Then the area of the square is
Explanation:
The two lines are 4y – 3x = 2 and 4y – 3x = −7.5
As a1 / a2 = b1 / b2 ≠ c1 / c2; thetwo lines are parallel to each other.
The distance between the two parallel lines would be the side of the square
i.e. |c1 – c2| / (√a2 + b2)
Here a2 + b2 = (−3)2 + (4)2 = 25 and |c1 – c2| = |2 – (−15/2)| = 19/2
∴ Side of square = (19/2)/5 = 19/10
= 1.9 ∴ Area of square = (1.9)2
= 3.61 sq. units
Hence, option (b).
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