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If the circles described on the line joi...

If the circles described on the line joining the points (0, 1) and `(alpha, beta)` as diameter cuts the X-axis in points whose abscissae are roots of equation `x^2- 5x+3 = 0` then `(alpha,beta)` =

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alpha and beta are the roots of the equation x^(2) - 3x + 5 = 0 , the equation whose roots are (1)/(alpha) and (1)/(beta) is: