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a1x + a2y = 0
b1x + b2y = 0
where a1, a2 , b1, b2 are real numbers,
has a non-trivial solutions if
a1b1 = a2b2
a1b2 = a2b1
a1a2 = b1b2
none of these
Equations are consistent only if,
a1b2 = b1a2
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