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KVPY SA Exam 05-Nov-2017 Question Paper

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Question : 13

Total: 80

Let A, G and H be the arithmetic mean, geometric mean and harmonic mean, respetively of two distinct positive real numbers. If α is the smallest of the two roots of the equation
A(G−H)x2+G(H−A)x+H(A−G)=0, then

−2<α<−1
0<α<1
−1<α<0
1<α<2

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