Question

If
$\sin( \alpha ) \: and \: \cos( \alpha )$
are roots of the equation


$lx {}^{2} + mx + n = 0$
then ,



Get the options in the pic
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Answer 1

$lx {}^{2 } - m ^{2} + 21n = 0$

is correct

I Hope This Helps U

Answer 2

Heya....

$\sin( \alpha ) + \cos( \alpha ) = - m$

and,

$\sin \alpha \cos( \alpha ) = n$

squaring ,

1+2n =

$\frac{m {}^{2} }{l {}^{2} } or$

$l {}^{2} - m {}^{2} + 21n = 0$

hope it helps