Question

37th sum??????????plzzzzzzzzz

Answer 1

$\frac{a1}{a2} = \frac{lembda}{1}$
$\frac{b1}{b2} = \frac{1}{lembda}$
$\frac{c1}{c2} = \frac{ {lembda}^{2} }{1}$
1) for no solution
$\frac{a1}{a2} = \frac{b1}{b2} \: \: is \: not \: equal \: to \: \frac{c1}{c2} \\ {lembda}^{2} = 1$

so lambda= +1,-1,for not equal to condition lambda is not equal to 1.
so for no solution value of lambda= -1
2) for unique solution
$\frac{a1}{a2} \: \: \: is \: not \: equal \: to \: \frac{b1}{b2}$
so lambda is not equal to -1,+1
3) for infinite solution
all three ratios are equal a1/a2= b1/b2=c1/c2
lambda = 1