Let \((x,y,z)\) be points with integer co-ordinates satisfying the system of homogeneous equations \[\begin{cases} 3x-y-z=0 \\ -3x+z=0 \\ -3x+2y+z=0 \end{cases}\] Find the number of such points for which \(x^2+y^2+z^2 \leq 100\)

You can try more Quadratic equation problems here.

×

Problem Loading...

Note Loading...

Set Loading...