Questions in 3-d

Select	Question
	A line makes angles of $45{}^\circ $and$60{}^\circ $ with the positive axes of X and Y respectively. The angle made by the same line with the positive axis of Z, is
	The direction cosines of the normal to the plane $3x+4y+12z=52$ will be
	The shortest distance of the point (a, b, c) from the x-axis is
	The direction ratios of the line $x-y+z-5=0=x-3y-6$ are
	If O is the origin and $OP=3$with direction ratios $-1,\,2,-2$, then co-ordinates of P are
	If x co-ordinates of a point P of line joining the points $Q(2,\,2,\,1)$ and $R\,(5,\,2,-2)$is 4, then the z-coordinates of P is
	The points $A(5,\,-1,\,\,1)$; $B\,(7,-4,\,7);$ $C(1,\,-6,\,10)$ and $D(-1,-3,\,4)$ are vertices of a
	The direction cosines of the line joining the points (4, 3, – 5) and (– 2, 1, – 8) are
	If a line lies in the octant $OXYZ$ and it makes equal angles with the axes, then
	The triangle formed by the points (0, 7, 10), (–1, 6, 6), (– 4, 9, 6) is