Questions in 3-d

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If a plane cuts off intercepts –6, 3, 4 from the co-ordinate axes, then the length of the perpendicular from the origin to the plane is
The equation of the plane which is parallel to xy-plane and cuts intercept of length 3 from the z-axis is
The equation of the plane which bisects the angle between the planes $3x-6y+2z+5=0$ and $4x-12y+3z-3=0$ which contains the origin is
The value of k for which the planes $3x-6y-2z=7$ and $2x+y-kz=5$ are perpendicular to each other, is
The equation of the plane passing through the point (–1, 3, 2) and perpendicular to each of the planes $x+2y+3z=5$ and $3x+3y+z=0$ , is
The distance between the planes $x+2y+3z+7=0$ and $2x+4y+6z+7=0$ is
If a plane cuts off intercepts $OA=a,OB=b,$ $OC=c$ from the co-ordinate axes, then the area of the triangle $ABC$ =
If the product of distances of the point (1, 1, 1) from the origin and the plane $x-y+z+k=0$ be 5, then k =
The equation of the plane which is parallel to the plane $x-2y+2z=5$ and whose distance from the point $(1,\,2,\,3)$ is 1, is
The equation of the plane through (1, 2, 3) and parallel to the plane $2x+3y-4z=0$ is

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