Question

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

• A. $x^2-2x+1=0$
• B. $x^2-2x+4=0$
• C. $x^2-4x+1=0$
• D. $x^2-4x-1=0$

Answer 1

Answer: (C)

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