(C) 6 Q.14 If the sum of the square...
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(C) 6 Q.14 If the sum of the square of the roots of the equation x2 - (sin a - 2)x - (1 + sin a) = 0) is least, then a is equal to : [AIEEE Online - 2012]

JEE/Engineering Exams
Maths
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( x^{2}+(sin 2-2) x-(1+sin alpha)=0 ) ( alpha+beta=(sin 2-2) ) ( 2 beta=-(1+sin alpha) ) et, a 2 b an the mats. ( begin{aligned}left(a^{2}+b^{4}right) &=(alpha+beta)^{2}-2 Delta beta &=(15 n 2-2)^{2}+2(1+sin alpha) end{aligned} ) ( =sin ^{2} alpha+4-4 sin alpha+2+2 sin alpha ) ( F sin ^{2} alpha-2 sin alpha+6 ) Stum 1 ( =(1 sin alpha-1)^{2}+5 ) ( (sin alpha-1)=0,+infty ) ( sin ^{2}=1 ) ( therefore alpha=frac{4}{2} )
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