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(B) The given equations are:$(p^2-q^2) x^2+(q^2-r^2) xy+(r^2-p^2) y^2=0$  ...$(i)$$(l-m) x^2+(m-n) xy+(n-l) y^2=0$  ...(ii)For any equation of the for

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$x-y=0$

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(B) The given equations are:$(p^2-q^2) x^2+(q^2-r^2) xy+(r^2-p^2) y^2=0$  ...$(i)$$(l-m) x^2+(m-n) xy+(n-l) y^2=0$  ...(ii)For any equation of the form $Ax^2+Bxy+Cy^2=0$,if $A+B+C=0$,then $(x-y)$ is a factor of the equation.For equation $(i)$: $(p^2-q^2) + (q^2-r^2) + (r^2-p^2) = 0$. Thus,$(x-y)$ is a factor.For equation (ii): $(l-m) + (m-n) + (n-l) = 0$. Thus,$(x-y)$ is a factor.Since both equations represent a pair of lines passing through the origin and share the factor $(x-y)$,the common line is $x-y=0$.

The equation of the line common to the pair of lines $(p^2-q^2) x^2+(q^2-r^2) xy+(r^2-p^2) y^2=0$ and $(l-m) x^2+(m-n) xy+(n-l) y^2=0$ is

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