Soln of non standard problem

xyz+z=a
xyz²+z=b
x²+y²+z²=4

This is very tough.. will i have to study for IIT studies?

i guess x=0 and y=1 ...
will give the solution..

i think on that point.. dont ask why!

question 2 is simple after hint...

(x,y,z) is solution then (-x,-y,z) is another solution.

so for unique..

x=-x
y=-y

so x=0=y

so z=±2

so (a,b)=±4

but check for a=b=2 we don't get a unique soln

yes.. good man.. u rock...

so we eliminate all answers which dont work..

so..... q.(1)'s ans is a=0 naa?? or sumthing else??