Write the equation of plane which cuts the axes of X and Y at (3,0,0) and (0, -2,0) and does not cut z-axis.

Find the equation of the plane which cuts intercepts 2,3,-4 on the axes.

Find the equation of the plane which is parallel to x-axis and cuts intercepts 2 and 5 on y and z-axis respectively.

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 .

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

Find the equation of the sphere passing through the points (3,0,0), (0,-1,0), (0,0,-2) and whose centre lie on plane 3x +2y+4z = 1

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).

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).

Find the equation of the plane which contains the line of intersection of the planes x+2y+3z-4=0a n d2x+y-z+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0.

What is the equation of the plane which passes through the z-axis and is perpendicular to the line (x-a)/(costheta)=(y+2)/(sintheta)=(z-3)/0? a. x+yt a ntheta=0 b. y+x t a ntheta=0 c. xcostheta-ysintheta=0 d. xsintheta-ycostheta=0

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 .