AP EAMCET · Maths · Pair of Lines
If the slope of one line of the pair of lines \(2 x^2+h x y+6 y^2\) \(=0\) is thrice the slone of the other line, then \(\mathrm{h}=\)
- 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
\(2 x^2+h x y+6 y^2=0\) Comparing with \(a x^2+2 h x y+b y^2=0\) \(a=4, b=12\) Let \(m_1\) and \(m_2\) be the slopes We know, \(m_1 m_2=\frac{a}{b}=\frac{1}{3}\) Also \(m_1=3 m_2 \Rightarrow 3 m_1^2=\frac{1}{3} \Rightarrow m_1= \pm \frac{1}{3}\) And…
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