let (x,y,z) be points with integer coordinates satisfying the system of homogeneous equations;
3x-y-z=0; -3x+z=0; -3x+3y+z=0
Then the number of such points for which x^2 + y^2 + z^2

Question

let (x,y,z) be points with integer coordinates satisfying the system of homogeneous equations; 3x-y-z=0; -3x+z=0; -3x+3y+z=0 Then the number of such points for which x^2 + y^2 + z^2

anonymous · Answer

ans is 7.. i need explanation.

anonymous · Answer

system of three planes intersecting at 0,0,0

anonymous · Answer

On solving the equations I am getting y=0, x,z∈I. Andz = 3x.
$$x^2+9x^2≤100$$
 
$$x^2≤10$$

anonymous · Answer

gotcha!! thanx

anonymous · Answer

You're in Bansal Classes, pretty awesome huh.
Goodluck for ISEET! ^_^

anonymous · Answer

i'm in 12th grade, so i will be giving jee this year