The x-y plane is rotated about its line of intersection with the y-z plane by `45^0` , then the equation of the new plane is/are a. `z+x=0` b. `z-y=0` c. `x+y+z=0` d. `z-x=0`

The plane 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with the plane 5x+3y+10 z=25. The equation of the plane in its new position is a. x-4y+6z=106 b. x-8y+13 z=103 c. x-4y+6z=110 d. x-8y+13 z=105

The plane a x+b y=0 is rotated through an angle alpha about its line of intersection with the plane z=0. Show that he equation to the plane in the new position is a b y+-zsqrt(a^2+b^2)a n dalpha=0.

Find the equation of the image of the plane x-2y+2z-3=0 in plane x+y+z-1=0.

Find the equation of the plane through the line of intersection of the planes x+y+z=1 and 2x+3y+4z=5 which is perpendicular to the plane x-y+z=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

From the point P(a ,b ,c), let perpendicualars P La n dP M be drawn to Y O Za n dZ O X planes, respectively. Then the equation of the plane O L M is a. x/a+y/b+z/c=0 b. x/a+y/b-z/c=0 c. x/a-y/b-z/c=0 d. x/a-y/b+z/c=0

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

The equation of the plane through the line of intersection of the planes ax + by+cz + d= 0 and a'x + b'y+c'z + d'= 0 parallel to the line y=0 and z=0 is

Equation of line of projection of the line 3x-y+2z-1=0=x+2y-z=2 on the plane 3x+2y+z=0 is

The direction ratios of the line, given by the planes x - y + z - 5 = 0, x - 3y - 6 = 0 are