14. If a, b>0 satisfy a3 + b3 = a -...
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14. If a, b>0 satisfy a3 + b3 = a - b then (A) a2 + b2 = 1 (B) a2 + ab + b2 < 1 (C) a2 + b2 > 1 (D) a? - b2 = 1

JEE/Engineering Exams
Maths
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( a_{1} b>0, quad ) then ( frac{a-b}{a+b}<1 quad ) alw ays ( i cdot a^{3}+b^{3}=a-b ) ( sin (a+b)left(a^{2}+a b+b^{2}right)=a-b ) ( 0,1,1, a^{2}+a b+b^{2}=frac{a-b}{a+b}<1 ) ( therefore a^{2}+a b+b^{2}<1 ) option Biscoreed
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