DA) SV + (B) 313 - 1 (C) 318 + 2 (D) 31/3 - 2 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) a2 - b2 = 1 74 74

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Given: ( quad a, brangle quad 0 ) [ & a^{3}+b^{3}=a-b ] ( Rightarrow quad a^{3}+b^{3}=a^{-b}=b ) ( a^{2}left(a^{2}+a b+b^{2}right)=frac{a-b}{a+b} ) ( sin (e, quad a, b>0 ) ( quad quad a+b>0 ) and a-b nriel be less than ( a+b ) z) ( frac{a-b}{a+b} ) wict be less than 1 Cbing denominator being to greater than mumarator) ( Rightarrow quad a-b ) ( <1 ) ( a+b ) Cusing ( O ) ( y^{2}+a b+b^{2} leq 1 ) ( rightarrow ) Cption ( (B) ) is ( cos x e c t )

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