Questions in 3-d

Select	Question
	A plane $\pi $ makes intercepts 3 and 4 respectively on z-axis and x-axis. If $\pi $ is parallel to y-axis, then its equation is
	$XOZ$ plane divides the join of (2, 3, 1) and (6, 7, 1) in the ratio
	The equation of the plane through the intersection of the planes $x+y+z=1$ and $2x+3y-z+4=0$ parallel to $x-$ axis is
	Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is
	The angle between two planes $x+2y+2z=3$ and $-5x+3y+4z=9$ is
	If the points $(1,\,1,\,k)$ and $(-3,\,0,\,1)$ be equidistant from the plane $3x+4y-12z+13=0$ ,then k =
	If O be the origin and the co-ordinates of P be (1, 2, –3), then the equation of the plane passing through P and perpendicular to OP is
	The equation of the plane passing through the points (0, 1, 2) and (–1, 0, 3) and perpendicular to the plane $2x+3y+z=5$ is
	A line joining the points (1, 2, 0) and (4, 13, 5) is perpendicular to a plane. Then the coefficients of x, y and z in the equation of the plane are respectively
	If the distance of the point (1, 1,1) from the origin is half its distance from the plane $x+y+z+k=0$ , then $k=$