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If $\sin â¡ Î±, \sin â¡ Î²$ are the roots of the equation $a \sin^{2} â¡ Î¸ + b \sin â¡ Î¸ + c = 0 and \sin â¡ Î± + 2 \sin â¡ Î² = 1$ and $a^{2} + 2 b^{2} + 3 a b + a c =$

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Correct option is B

sinâ¡Î±+sinâ¡Î²=âb/a, sinâ¡Î±sinâ¡Î²=c/a, sinâ¡Î±+2sinâ¡Î²=1âsinâ¡Î±=ca+b which satisfies the given equation (Note câ 0 ) and the required value is 0.

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If sinâ¡Î±, sinâ¡Î² are the roots of the equation asin2â¡Î¸+bsinâ¡Î¸+c=0 and sinâ¡Î±+2sinâ¡Î²=1 and a2+2b2+3ab+ac=

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If $\sin â¡ Î±, \sin â¡ Î²$ are the roots of the equation $a \sin^{2} â¡ Î¸ + b \sin â¡ Î¸ + c = 0 and \sin â¡ Î± + 2 \sin â¡ Î² = 1$ and $a^{2} + 2 b^{2} + 3 a b + a c =$