The condition that one of the straight lines given by the equation \( a x^{2}+2 h x y+b y^{2}=0 ... VIDEO
The condition that one of the straight lines given by the equation \( a x^{2}+2 h x y+b y^{2}=0 \) may coincide with one of those given by the equation \( a^{\prime} x^{2}+2 h^{\prime} x y+b^{\prime} y^{2}=0 \) is
(a) \( \left(a b^{\prime}-a^{\prime} b\right)^{2}=4\left(h a^{\prime}-h^{\prime} a\right)\left(b h^{\prime}-b^{\prime} h\right) \)
(b) \( \left(a b^{\prime}-a^{\prime} b\right)=\left(h a^{\prime}-h^{\prime} a\right)\left(b h^{\prime}-b^{\prime} h\right) \)
(c) \( \left(h a^{\prime}-h a\right)=4\left(a b^{\prime}-a^{\prime} b\right)\left(b h^{\prime}-b^{\prime} h\right) \)
(d) \( \left(b h^{\prime}-b^{\prime} h\right)=4\left(a b^{\prime}-a^{\prime} b\right)\left(h a^{\prime}-h^{\prime} a\right) \)
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