Find the equation of a plane which passes through the point `(1,2,3)` and which is equally inclined to the planes `x-2y+2z-3=0a n d8x-4y+z-7=0.`

The equations of the plane which passes through (0,0,0) and which is equally inclined to the planes x-y+z-3=0a n dx+y=z+4=0 is/are a. y=0 b. x=0 c. x+y=0 d. x+z=0

Find the equation of a plane which passes through the point (3, 2, 0) and contains the line (x-3)/1=(y-6)/5=(z-4)/4

Find the equation of the plane which passes through the point (3,4,-1) and is parallel to the plane 2x - 3y + 5z + 7 = 0. Also, find the distance between the two planes.

Find the equation of a line which passes through the point (1,1,1) and intersects the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x+2)/1=(y-3)/2=(z+1)/4dot

Find 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.

Find the equation of the sphere which passes through (1,0,0),(0,1,0)a n d(0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of the sphere which passes through (10,0),(0,1,0)a n d(0,0,1) and whose centre lies on the plane 3x-y+z=2.

Find the equation of the plane passing through the points (-1,1,1) and (1,-1,1) and perpendicular to the plane x+2y+2z=5.

Find the equation of the plane passing through the points (3, 4, 2), (2, -2, -1) and (7, 0, 1).