Questions in 3-d

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The length and foot of the perpendicular from the point (7, 14, 5) to the plane $2x+4y-z=2,$ are
The equation of the plane passing through the intersection of the planes $x+y+z=6$ and $2x+3y+4z+5=0$ the point (1, 1, 1), is
The equation of the plane through the three points (1, 1, 1), (1, –1, 1) and (–7,–3,–5), is
The ratio in which the plane $x-2y+3z=17$ divides the line joining the points (–2, 4, 7) and $(3,-5,\,8)$ is
Image point of $(1,\,3,4)$ in the plane $2x-y+z+3=0$ is
Distance between parallel planes $2x-2y+z+3=0$ and $4x-4y+2z+5=0$ is
If the given planes $ax+by+cz+d=0$ and $a'x+b'y+c'z+d'=0$ be mutually perpendicular, then
A point (x, y, z) moves parallel to xy–plane. Which of the three variables x, y, z remain fixed
The angle between two planes is equal to
In three dimensional space, the equation $3y+4z=0$ represents

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