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If \( \alpha, \beta \) be the roots of \( a x^{2}+b x+c=0 \) and \( \gamma, \delta \) those
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of \( l x^{2}+m x+n=0 \), then the equation whose roots
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are \( \alpha \gamma+\beta \delta \) and \( \alpha \delta+\beta \gamma \) is
(1) \( a^{2} l^{2} x^{2}-a b l m x+\left(b^{2}-4 a c\right) n l+m^{2} a c=0 \)
(2) \( a^{2} l^{2} x^{2}+a b \operatorname{lm} x-\left(b^{2}-4 a c\right) n l=0 \)
(3) \( a^{2} l^{2} x^{2}-a b \operatorname{lm} x-\left(b^{2}-4 a c\right) n l=0 \)
(4) None of these


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