Questions in 3-d

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The planes $x=cy+bz,y=az+cx,z=bx+ay$ pass through one line, if
If the length of perpendicular drawn from origin on a plane is 7 units and its direction ratios are –3, 2, 6, then that plane is
If the plane $x-3y+5z=d$ passes through the point (1,2,4), then the lengths of intercepts cut by it on the axes of x, y, z are respectively
If the planes $x+2y+kz=0$ and $2x+y-2z=0$ are at right angles, then the value of k is
If two planes intersect , then the shortest distance between the planes is
The length of the perpendicular from the origin to the plane $3x+4y+12z=52$ is
If P be the point (2, 6, 3), then the equation of the plane through P at right angle to OP, O being the origin, is
The distance of the point (2, 3, – 5) from the plane $x+2y-2z=9$ is
The intercepts of the plane $5x-3y+6z=60$ on the co-ordinate axes are
The equation of a plane parallel to x- axis is

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