If one of the lines given by $k x^2+x y-y^2=0$ bisect the angle between the co-ordinate axes, then the values of $\mathrm{k}$ are

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Aicharya · Accepted Answer

$\begin{aligned} & \mathrm{kx}^2+\mathrm{xy}-\mathrm{y}^2=0 \ & 	herefore \mathrm{k}+\left(\frac{\mathrm{x}}{\mathrm{y}}ight)-\left(\frac{\mathrm{y}}{\mathrm{x}}ight)^2=0 \end{aligned}$ Slope of line is \pm 1 $	herefore \mathrm{k}+1-1=0 	ext { or } \mathrm{k}-1-1=0 \Rightarrow \mathrm{k}=0,2$

If one of the lines given by $k x^2+x y-y^2=0$ bisect the angle between the co-ordinate axes, then the…

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