AP EAMCET · Maths · Straight Lines
A straight line \(\frac{x}{a}-\frac{y}{b}=1\) passes through the point \((8,6)\) and cuts a triangle of area 12 sq units from the axes of coordinates. The equations of the straight lines are
- A \(3 x+12 y=12\) and \(3 x+8 y=24\)
- B \(3 x-2 y-12=0\) and \(3 x-8 y+24=0\)
- C \(2 x+3 y=12\) and \(8 x+3 y=24\)
- D \(2 x-3 y+12=0\) and \(8 x+3 y+24=0\)
Answer & Solution
Correct Answer
(B) \(3 x-2 y-12=0\) and \(3 x-8 y+24=0\)
Step-by-step Solution
Detailed explanation
A straight line \(\frac{x}{a}-\frac{y}{b}=1\) passes thought \((8,6)\). Then, \(\frac{8}{a}-\frac{6}{b}=1...(i)\) Area of triangle formed by axis and line \(=12 \mathrm{sq}\) unit…
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