AP EAMCET · Maths · Pair of Lines
If the slope of one of the lines in the pair of lines \(8 x^2+a x y+y^2=0\) is thrice the slope of the second line, then \(a=\)
- A \(8 \sqrt{\frac{2}{3}}\)
- B \(6\)
- C \(16 \sqrt{2}\)
- D \(3 \frac{\sqrt{2}}{5}\)
Answer & Solution
Correct Answer
(A) \(8 \sqrt{\frac{2}{3}}\)
Step-by-step Solution
Detailed explanation
\(8 x^2+a x y+y^2=0\) Let \(m_1\) and \(m_2\) be two slopes Since given equation is homogeneous \(\Rightarrow m_1+m_2=\frac{-a}{1}\) and \(m_1 m_2=8 ;\) Since \(m_1=3 m_2\) \(\therefore 3 m_2+m_2=-\mathrm{a} \Rightarrow 4 m_2=-\mathrm{a}\) ...(i) and…
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