AP EAMCET · Maths · Pair of Lines
If the lines represented by the equation \(4 x y+6 x-8 y+c=0\) form a rectangle with the coordinate axis then the area of the rectangle (in sq. units) is
- A \(|c|\)
- B \(\left|\frac{c}{2}\right|\)
- C \(\left|\frac{c}{4}\right|\)
- D \(\left|\frac{c}{8}\right|\)
Answer & Solution
Correct Answer
(C) \(\left|\frac{c}{4}\right|\)
Step-by-step Solution
Detailed explanation
The equation \(4 x y+6 x-8 y+c=0\) can be written as: \(xy + \frac{6}{4}x - \frac{8}{4}y + \frac{c}{4} = 0\) \(xy + \frac{3}{2}x - 2y + \frac{c}{4} = 0\) For this equation to represent a pair of lines parallel to the coordinate axes, it must be of the form…
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