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  4. A quadratic equation with rational coefficients one of whose roots is tan ((π/12)) is -

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Q. A quadratic equation with rational coefficients one of whose roots is $\tan \left(\frac{\pi}{12}\right)$ is -

Complex Numbers and Quadratic Equations

Solution:

$\tan \left(\frac{\pi}{12}\right)=2-\sqrt{3}$
$\Rightarrow$ other root $=2+\sqrt{3}$