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  • If the line is one of the angle bisector of the pair of lines <img alt="\mathrm{ a x^2+2 h x y+

If the line \mathrm{y=x} is one of the angle bisector of the pair of lines \mathrm{ a x^2+2 h x y+b y^2=0}, then -
 

Option: 1

\mathrm{a+b=0}
 


Option: 2

\mathrm{h}=0

 


Option: 3

\mathrm{a-b=0}
 


Option: 4

\text{None of these}


Answers (1)

best_answer

Combined equation of angle bisectors is \mathrm{\frac{x^2-y^2}{a-b}=\frac{x y}{h}}. If one bisector is \mathrm{\mathrm{y}=\mathrm{x}} then \mathrm{x^2-y^2=0 \Rightarrow a-b=0}.

Hence option 3 is correct.

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mansi

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