The roots of the equation ${x^4} - 4{x^3} + 6{x^2} - 4x + 1 = 0$ are
$1, 1, 1, 1$
$2, 2, 2, 2$
$3, 1, 3, 1$
$1, 2, 1, 2$
If $\alpha, \beta $ and $\gamma$ are the roots of the equation $2{x^3} - 3{x^2} + 6x + 1 = 0$, then ${\alpha ^2} + {\beta ^2} + {\gamma ^2}$ is equal to
Let $p$ and $q$ be two real numbers such that $p+q=$ 3 and $p^{4}+q^{4}=369$. Then $\left(\frac{1}{p}+\frac{1}{q}\right)^{-2}$ is equal to
The set of all real numbers $x$ for which ${x^2} - |x + 2| + x > 0,$ is
Number of solutions of equation $|x^2 -2|x||$ = $2^x$ , is
The number of ordered pairs $(x, y)$ of real numbers that satisfy the simultaneous equations $x+y^2=x^2+y=12$ is