Let \( L_{1} \equiv a x+b y+a \sqrt[3]{b}=0 \) and \( L_{2} \equiv ... VIDEO
Let \( L_{1} \equiv a x+b y+a \sqrt[3]{b}=0 \) and \( L_{2} \equiv b x-a y+b \sqrt[3]{a}=0 \) be two straight lines. The equations of the bisectors of the angle formed by the foci whose equations are
W \( \lambda_{1} L_{1}-\lambda_{2} L_{2}=0 \) and \( \lambda_{1} L_{1}+\lambda_{2} L_{2}=0, \lambda_{1} \) and \( \lambda_{2} \) being non-zero real numbers, are given by
(a) \( L_{1}=0 \)
(b) \( L_{2}=0 \)
(c) \( \lambda_{1} L_{1}+\lambda_{2} L_{2}=0 \)
(d) \( \lambda_{2} L_{1}-\lambda_{1} L_{2}=0 \)
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