Homogeneous equation in two variable. $$ $$ Homogeneous equation in two variable i.e $ax^2 + 2hxy +by^2 = 0$ always represent pair of line. Since $g=f=c=0\;\Rightarrow bg^2+ch^2+af^2-2hfg-abc=0\,\forall\,x \in R$ Pair of lines represented by homogeneous equation in two variables are $L_1:y – m_1x = 0$ and $L_2 : y – m_2x = 0$, where $m_1,m_2$ […]

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