AP EAMCET · Maths · Pair of Lines
If \(h^2=a b\), then the slopes of lines represented by \(a x^2-2 h x y+b y^2=0\) would be in the ratio
- A \(1: 2\)
- B \(2: 1\)
- C \(2: 3\)
- D \(1: 1\)
Answer & Solution
Correct Answer
(D) \(1: 1\)
Step-by-step Solution
Detailed explanation
Given, \(h^2=a b\) and \(a x^2+2 h x y+b y^2=0\) Divide by \(x^2\), we obtain \[ b m^2+2 h m+a=0 \] \([\because y=m x\) is equation of line through origin, i.e. \[ \left.\frac{y}{x}=m\right] \]…
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