Questions in 3-d

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	The direction cosines of a line equally inclined to three mutually perpendicular lines having direction cosines as ${{l}_{1}},{{m}_{1}},{{n}_{1}};{{l}_{2}},{{m}_{2}},{{n}_{2}}$ and ${{l}_{3}},{{m}_{3}},{{n}_{3}}$ are
	A point $(x,y,z)$ moves parallel to x-axis. Which of the three variable$x,y,z$remain fixed
	If the direction cosines of a line are $\left( \frac{1}{c},\frac{1}{c},\frac{1}{c} \right)$, then
	The plane $XOZ$ divides the join of $(1,\,-1,\,\,5)$ and (2, 3, 4) in the ratio $\lambda :1$, then $\lambda $ is
	The co-ordinates of a point P are (3, 12, 4) with respect to origin O, then the direction cosines of $OP$are
	The locus of a first degree equation in $x,y,z$is a
	The direction cosines of the normal to the plane $x+2y-3z+4=0$ are
	The direction cosines of the line $\frac{3x+1}{-3}=\frac{3y+2}{6}=\frac{z}{-1}$ are
	The co-ordinates of the point which divides the join of the points (2, –1, 3) and (4, 3, 1) in the ratio 3 : 4 internally are given by
	If the direction ratios of a line are $1,-3,\,2$, then the direction cosines of the line are