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
14 years ago

Answer 1

ans is 7.. i need explanation.

Answer 2

system of three planes intersecting at 0,0,0

Answer 3

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

\[x^2≤10\]

Answer 4

gotcha!! thanx

Answer 5

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

Answer 6

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