AP EAMCET · Maths · Pair of Lines
The slopes of the lines represented by \(x^2+2 h x y+2 y^2=0\) are in the ratio \((1: 2)\), then \(h\) is equal
- A \(\pm \frac{1}{2}\)
- B \(\pm \frac{3}{2}\)
- C \(\pm 1\)
- D \(\pm 3\)
Answer & Solution
Correct Answer
(B) \(\pm \frac{3}{2}\)
Step-by-step Solution
Detailed explanation
Given, equation of lines \(x^2+2 h x y+2 y^2=0...(i)\) On comparing with \(a x^2+2 h x y+b y^2=0\) \(\Rightarrow \quad a=1\) and \(b=2\) Let \(y=m_1 x\) and \(y=m_2 x\) be the lines, whose combined form is Eq. (i)…
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