AP EAMCET · Maths · Pair of Lines
If the co-ordinate axes are the bisectors of the angles between the pair of lines \(a x^2+2 h x y+b y^2=0\) where \(h^2>a b\) and \(a \neq b\), then
- A \(a+b=0\)
- B \(h=0\)
- C \(h \neq 0, a+b=0\)
- D \(a+b \neq 0\)
Answer & Solution
Correct Answer
(B) \(h=0\)
Step-by-step Solution
Detailed explanation
Equation of pair of bisectors of \[ \begin{aligned} & a x^2+2 h x y+b y^2=0 \text { is } \frac{x^2-y^2}{a-b}=\frac{x y}{h} \\ & \text { if } \quad h=0, x y=0 \\ & \Rightarrow \quad x=0, y=0 \end{aligned} \] Which are the equations of coordinate axes.
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