Fill in the Blanks:
The locus of the equation `x^2 + y^2 + z^2 - 2x + 4y - 6z + 14 = 0` is the set ………..

What is the locus of the equations x^2+y^2+z^2=0 ?

Find the least value of the expression x^(2) + 4y^(2) + 3z^(2) - 2x - 12y -6z + 14

Fill in the blanks : The x-intercept of the plane 2x - 3y + 5z + 4 = 0 is ……… .

The distance between the planes 3x + 2y - 6z - 18 = 0 and 3x + 2y - 6z + 10 = 0 is

The distance between the planes 3x + 2y - 6z - 12 = 0 and 3x + 2y - 6z + 9 = 0 is

The distance of the plane 2x - 3y + 6z + 14 = 0 from the point (0, 2, 1) equals :

Equation of the sphere concentric with the sphere x^(2)+y^(2)+z^(2)+2x - 4y + 6z + 12 = 0 and passing through origin is :

Using matrices , solve the following system of linear equations 5x -y + 4z =5 2x + 3y + 5z =2 5x -2y + 6z =-1