Find center and radius of the sphere given by the equation `x^(2) + y^(2) + z^(2) + 4x - 6y - 8z = 7`.

Find the equation of the sphere having the circle x^(2)+y^(2)+z^(2)=9;x-2y+2z=5 as a great circle.

Find the equation of the sphere which touches the sphere x^(2)+y^(2)+z^(2)+2x-6y+1=0 at (1,2,-2) and pass through the origin

If x and y and z satisfy the given system of equations x^(2)+y^(2)+z^(2)=133,y+z-x=7,yz=x then the value of x+y+z is :

Find the centre and radius of sphere 2(x-5)(x+1)+2(y+5)(y-1)+2(z-2)(z+2)=7 .

Equation of the sphere with centre (1,-1,1) and radius equal to the of sphere 2x^(2)+2y^(2)+2z^(2)-2x+4y-6z=1 is

Distance between the two planes: 2x + 3y + 4z = 4 and 4x + 6y + 8z = 12 is

8x + y + 2z = 4x + 2y + z = 1x + y + z = 2

What is the radius of the sphere x^2+y^2+z^2-x-y-z=0 ?