The H.M. between the roots of the equation x^ | vedclass

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(D) Let the roots of the quadratic equation $x^2 - 10x + 11 = 0$ be $\alpha$ and $\beta$.From the properties of quadratic equations,the sum of the roo

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$\frac{11}{5}$

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(D) Let the roots of the quadratic equation $x^2 - 10x + 11 = 0$ be $\alpha$ and $\beta$.From the properties of quadratic equations,the sum of the roots is $\alpha + \beta = -(-10)/1 = 10$.The product of the roots is $\alpha \beta = 11/1 = 11$.The Harmonic Mean $(H.M.)$ of two numbers $\alpha$ and $\beta$ is given by the formula $H.M. = \frac{2\alpha \beta}{\alpha + \beta}$.Substituting the values,we get $H.M. = \frac{2 	imes 11}{10} = \frac{22}{10} = \frac{11}{5}$.

The $H.M.$ between the roots of the equation $x^2 - 10x + 11 = 0$ is

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