Q.
If sin α and cos α are the roots of the equation ax2 +bx+c=0, then
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a
a2−b2+2ac=0
b
(a−c)2=b2+c2
c
a2+b2−2ac=0
d
a2+b2+2ac=0
answer is A.
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Detailed Solution
. Since, sin α and cos α are the roots of the equation ax2+ bx+ c=0, then,sinα+cosα=−ba and sinαcosα=caTo eliminate α we have1=sin2α+cos2α⇒ 1=(sinα+cosα)2−2sinαcosα⇒ 1=b2a2−2ca⇒ a2−b2+2ac=0
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