The value of a for which the sum of...
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The value of a for which the sum of the squares of the roots of the equation x2 - (a - 2)x-a-1 = 0 assumes the least value is (1) Zero (2) 1 (3) 2 (4) 3

JEE/Engineering Exams
Maths
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2² - px-1+ p =0  x+β= p ; ×β=p-1 y=x2+β2    =(x+β)2-2    =p2-2(p-1)=p2-2p+2       dydp=0       2p-2=0        p=1        for p=1 the sum of squares of given equation will have minimum  value    

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