If the plane ax + by = 0 is rotated about its line of intersection with the plane z = 0 through an angle α, then prove that the equation of the plane in its new position is
`ax+by pm (sqrt(a^2+b^2)tan alpha)z=0`

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

The plane denoted by P_1 : 4x+7y+4z+81=0 is rotated through a right angle about its line of intersection with plane P_2 : 5x+3y+10z=25 . If the plane in its new position be denoted by P, and the distance of this plane from the origin is d, then the value of [(d)/(2)] (where[.] represents greatest integer less than or equal to k) is....

If the foot of perpendicular from origin to the plane is (2,1,0) then the equation of the plane is ..........

The plane 2x - (1- lambda) y+ 3 lambda z= 0 is passing through the line of intersectoin of ...... Planes.

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

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

Let L be the line of intersection of the planes 2x+3y+z=1 and x+3y+2z=2 . If L makes an angle alpha with the positive X=axis, then cosalpha equals

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 plane 2x - 3y + 6z + 9 =0 makes an angle with positive direciton of X -axis is ........

The equation of the plane which passes through the line of intersection of the planes rcdotn_1=q_1, rcdotn_2=q_2 and is parallel to the line of intersection of the planes rcdotn_3=q_3, rcdotn_4=q_4 is