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NEST2016MathematicsSequences and Series

Let A, G, H be the arithmetic mean, geometric mean and harmonic mean respectively of two distinct positive real numbers. The roots of the quadratic equation A x^2-2 G x+H= 0 lie in the interval

Options

  1. A(0,1)
  2. B(1,2)
  3. C(2,3)
  4. D(3,4)

Correct answer

A. (0,1)

Step-by-step solution

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