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  •  If  is one angle bisector of the lines   <span style="font-size

 If \mathrm{y=2x} is one angle bisector of the lines   \mathrm{x^2+2 h x y+2 y^2=0} then

Option: 1

\mathrm{h=1}


Option: 2

\mathrm{h=\frac{2}{3}}


Option: 3

\mathrm{h=\frac{3}{2}}


Option: 4

\mathrm{h=-1}


Answers (1)

best_answer

One angle bisector is y = 2x, so other angle bisector is \mathrm{2y+x=1} so combined equation is \mathrm{(y-2 x)(2 y+x)=0}

\mathrm{2 x^2-2 y^2+3 x y=0}

Also, \mathrm{\frac{x^2-y^2}{1-2}=\frac{x y}{h}}  is also angle bisectors, 

Posted by

HARSH KANKARIA

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