If sin α, cos α are the roots of the equation ax2 + bx + c = 0, (a ≠ 0), then:-
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c/a must be between [-1/2,1/2]
and -b/a must be between [-✓2,✓2]
and -b/a must be between [-✓2,✓2]
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a2 – b2 + 2ac = 0
a2 + b2 – 2ac = 0
(a – c)2 = b2 + c2