System of inequalities. Points of intersection?

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$x^2+y^2<=81$

$y<x$

Is this correct? My answer: (-9sqrt(2)/2,-9sqrt(2)/2), (9sqrt(2)/2,9sqrt(2)/2)

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Hints:

Notice $x^2 + y^2 \leq 81 = 9^2 $ is the set of all $(x,y)$ that lies inside a circle(centered at the origin) of radius $9$, and including its boundary.

and $y < x $ is the set of all points that lie below the the $45^0$ degrees line excluding the points in the diagonal.