AP EAMCET · Maths · Straight Lines
If a straight line \(L\) is perpendicular to the line \(4 x-2 y=1\) and forms a triangle of area 4 sq unit with the coordinate axes, then the equation of the line \(L\) is
- A \(2 x+4 y+7=0\)
- B \(2 x-4 y+8=0\)
- C \(2 x+4 y+8=0\)
- D \(4 x-2 y-8=0\)
Answer & Solution
Correct Answer
(C) \(2 x+4 y+8=0\)
Step-by-step Solution
Detailed explanation
A straight line \(L\) is perpendicular to the line \(4 x-2 y=1\) therefore the equation of the line is \(x+2 y+\lambda=0\) \(\ldots\) (i) Also, the line (i) form a \(\Delta\) of area 4 unit \(^2\) with the coordinate axes, then…
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