PASSAGE - 1 aber, roots of x² + ax ...
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PASSAGE - 1 aber, roots of x² + ax + b = 0 are a B and roots of x2 + bx + a=0 are at where k 70, a + b 1. Which of the following hold? (A) a+b=0 (B) a + b +4= 0 (C) a + b + 1 = 0 (D) none 2. If ab = 1 then interval for 2 is (A) (-0,4] (B) (-0,4) (C) (-0,0] (D) none

JEE/Engineering Exams
Maths
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( alpha+beta=a, quad alpha cdot beta=b ) ( alpha+k+beta+k=b quad(alpha+B)(beta+k)=a ) ( a+2 k=b quad alpha cdot beta+k^{2}+k(alpha+beta)=a ) ( k^{2}+a k=-2 k ) ( k^{2}+k(a+2)=0 ) ( k^{2}=0 ) ( k=-a-2 ) ( Rightarrow a+2(-a-2)=b ) ( Rightarrow a-2 a-4=b ) ( Rightarrow quad-a-4=b ) ( a+b+4=0 )
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