Three Dimension...

If (2,3,5) is one end of the diameter of the sphere x² + y² + z² - 6x - 12y - 2z + 20 = 0, then coordinate of the other end of the diameter is

If the image of the point (1,1,1) by a plane is (3,-1,5), then the equation of the plane is

Distance of the point (α,β,y) from the XOY-plane is

The projection of the point (1,2, - 4) in the YOZ - plane is

If the straight lines x = 1 + s, y = - 3 - λs, z = 1 + λs and x = t/2 , y = 1 + t, z = - 2 t, with parameters s and t respectively , are co-planar, then λ equals

A line makes the same angle θ with each of the X- and Z-axis . If the angle β, which it makes with the y-axis, is such that sin² β = 3 sin² θ , then cos² θ equals 

The plane containing the point (0,7,-7) and the linex + 1 / -3 = y - 3 / 2 = z + 2 / 1 is

If the planes x + 2y + kz = 0 and 2x + y - 2z = 0 are right angle, the the value of k is

If a line makes angles α, β, y respectively with positive x-axis, y-axis and z-axis, then cos² α + cos² β + cos² y =

The plane x - 2 y + z - 6 = 0 and the line x/1 = y/2 = z/3 are related as