Questions in 3-d

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Distance of the point (2,3,4) from the plane $3x-6y+2z+11=0$ is
The equation of the plane containing the line of intersection of the planes $2x-y=0$ and $y-3z=0$ and perpendicular to the plane $4x+5y-3z-8=0$ is
A point moves in such a way that the sum of its distance from xy-plane and yz-plane remains equal to its distance from zx-plane. The locus of the point is
A point moves so that its distances from the points (3, 4, –2) and (2, 3, – 3) remains equal. The locus of the point is
The equation of the perpendicular from the point $(\alpha ,\beta ,\gamma )$ to the plane $ax+by+cz+d=0$ is
The equation of yz-plane is
The angle between the planes $2x-y+z=6$ and $x+y+2z=7$ is
The equation of the plane passing through the line of intersection of the planes $x+y+z=1$ and $2x+3y-z+4=0$ and parallel to x-axis is
The co-ordinates of the foot of the perpendicular drawn from the origin to a plane is (2, 4, –3). The equation of the plane is
The equation of a plane which passes through (2, –3, 1) and is normal to the line joining the points (3, 4, –1) and (2, –1, 5) is given by

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