[JEE Advanced 2009] x y z are integer points with 3x y z 0 and 3x 2y
$(x,y,z)$ are integer points with $3x-y-z=0$ and $-3x+2y+z=0$. The number of such points with $x^2+y^2+z^2\le100$ is ____
1 Answer
VAVidaara Admin
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· 2d ago
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Answer: $7$.
Adding the equations gives $y=0$, then $z=3x$. So points are $(x,0,3x)$ with $10x^2\le100\Rightarrow|x|\le3$ — seven integer values.
JEE Advanced 2009 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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