If a line in a plane makes equal angles with the coordinate axes,then the angle made by the line with any one axis is equal to .........

The direction cosines of a line which makes equal acute angles with the coordinate axes are

If two straight lines whose direction cosines are given by the relations $l+m-n=0$ and $3l^{2}+m^{2}+cnl=0$ are parallel,then the positive value of $c$ is

Let $A, B, C$ be three points on $\overline{OX}, \overline{OY}, \overline{OZ}$ respectively at distances $3, 6, 9$ from the origin $O(0, 0, 0)$. Let $Q$ be the point $(2, 5, 8)$ and $P$ be the point equidistant from $O, A, B, C$. Then,the coordinates of the point $R$ which divides $PQ$ in the ratio $3:2$ is

If a line makes angles $\alpha, \beta, \gamma$ with the positive directions of $X, Y$ and $Z$-axes respectively,then the value of $\sin ^2 \alpha+\sin ^2 \beta+\sin ^2 \gamma=$

If a straight line is equally inclined at an angle $\theta$ with all the three coordinate axes,then $\tan \theta=$