TS EAMCET · Maths · Straight Lines
The slope of one of the pair of lines \(2 x^2+h x y+6 y^2=0\) is thrice the slope of the other line then, \(h=\)
- A \(\pm 16\)
- B \(\pm 9\)
- C \(\pm 18\)
- D \(\pm 8\)
Answer & Solution
Correct Answer
(D) \(\pm 8\)
Step-by-step Solution
Detailed explanation
The equation of given straight line is \(2 x^2+h x y+6 y^2=0 \quad ...\mathrm{(i)}\) Let slope of pair of lines be \(m\) and \(3 m\) \(\therefore\) Pair of equation of straight line \(\begin{aligned} & (y-m x)(y-3 m x)=0 \\ & \Rightarrow y^2-4 m x y+3 m^2 x^2=0 \end{aligned}\)…
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