Let two planes `p _(1): 2x -y + z =2 and p _(2) : x + 2y - z=3` are given :
equation of the plane through the intersection of `p _(1) and p_(2)` and the point `(3,2,1)` is :

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2,2,1).

Let two planes p _(1): 2x -y + z =2 and p _(2) : x + 2y - z=3 are given : Equation of the plane which passes through the point (-1,3,2) and is perpendicular to each of the plane is:

Find the equation of the plane through the intersection of the planes 3x-y+2z-4=0 and x+y+z-2=0 and the point (2, 2, 1).

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4 = 0 and parallel to x-axis is

Find the equation of the plane passing through the intersection of the planes: x+y+z+1=0 and 2x-3y +5z-2=0 and the point (-1, 2,1)

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Find the equation of the plane through the point (1,4,-2) and parallel to the plane -2x+y-3z=7 .

Consider the lines L_(1): (x-1)/(2)=(y)/(-1)= (z+3)/(1) , L_(2): (x-4)/(1)= (y+3)/(1)= (z+3)/(2) and the planes P_(1)= 7x+y+2z=3, P_(2): 3x+5y-6z=4 . Let ax+by+cz=d be the equation of the plane passing through the point of intersection of lines L_(1) and L_(2) , and perpendicular to planes P_(1) and P_(2) . Match Column I with Column II.

Find the equation of the plane passing through the line of intersection of the planes 4x-5y-4z=1 and 2x+y+2z=8 and the point (2,1,3).