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 given equation is \(4xy+6x-8y+c=0\). This equation represents two straight lines which can be factored as \((Ax+B)(Cy+D)=0\), leading to \(ACxy+ADx+BCy+BD=0\). Comparing coefficients: \(AC=4\) \(BD=c\) The lines are \(x = -B/A\) and \(y = -D/C\). The area of the rectangle…
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