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.`

Find the equation of plane which passes through the point (1, 2,0) and which is perpendicular to the plane x-y+z=3 and 2x+y-z+4=0 .

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

Find the equation of the plane which passes through the point (2,2,2) and through the intersection of the planes 3x-y+2z=4 and x + y+z = 2 .

Find the equation of the plane which passes through the point (2,1,4) and is perpendicular to each of theplanes 9x-7y+6z+48=0 and x+y-z=7

The equation of the plane which passes through the points (2, 1, -1) and (-1, 3, 4) and perpendicular to the plane x- 2y + 4z = 0 is

Find the equation of a plane passes through the point (0 ,0,0) and perpendicular to each to the planes x+2y-z=1 and 3x-4y+z=5 .

Find the equation of a plane passes through the point (1,-2,4) and parallel to the plane 3x- y+3+2z+5=0 .

Find the equation of the plane passes through the point (2,3,5) and parallel to the plane x-3y+z=8 .

Let the equation of the plane, that passes through the point (1, 4, - 3) and contains the line of intersection of the planes 3x - 2y + 4z -7 = 0 and x + 5y - 2z + 9 = 0, be alphax + betay + gammaz+3=0 , then alpha + beta + gamma is equal to :

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