The angle between a diagonal and one of its edges of a cube is ...................

For the linear programming problem, $x + 2y \leq 10,\ 3x + y \leq 12,\ x, y \geq 0$, the maximum value of $z = 5x + 10y$ occurs at every point on the line segment joining the points..

The region satisfying the inequalities $y - x \geq 2,\ x + y \leq 5,\ x \geq 0$ and $y \geq 0$ is

If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?