Questions in 3-d

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The equation of the plane which bisects the line joining (2, 3, 4) and (6, 7, 8) is
The line $\frac{x-2}{3}=\frac{y-3}{4}=\frac{z-4}{5}$ is parallel to the plane
The distance between the line $\frac{x-1}{3}=\frac{y+2}{-2}=\frac{z-1}{2}$ and the plane $2x+2y-z=6$ is
The equation of the plane through the origin containing the line $\frac{x-1}{5}=\frac{y-2}{4}=\frac{z-3}{5}$ is
The angle between the line $\frac{x-2}{a}=\frac{y-2}{b}=\frac{z-2}{c}$ and the plane $ax+by+cz+6=0$ is
The co-ordinates of the point where the line through $P(3,\,4,\,1)$ and $Q(5,1,6)$ crosses the xy-plane are
The co-ordinates of the point where the line $\frac{x-6}{-1}=\frac{y+1}{0}=\frac{z+3}{4}$ meets the plane $x+y-z=3$are
If a plane passes through the point (1,1,1) and is perpendicular to the line $\frac{x-1}{3}=\frac{y-1}{0}=\frac{z-1}{4}$, then its perpendicular distance from the origin is
The angle between the line $\frac{x-1}{2}=$ $\frac{y-2}{1}=\frac{z+3}{-2}$ and the plane $x+y+4=0$, is
The equation of the plane containing the line $\frac{x+1}{-3}=\frac{y-3}{2}=\frac{z+2}{1}$ and the point (0, 7, –7) is

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