An inequality problem

Algebra Level 4

Let a,b,x,ya,b,x,y be real numbers such that a2+b2=81a^2 +b^2 =81, x2+y2=121x^2 + y^2 = 121 and ax+by=99ax+by=99.

Then what is the set of all possible values of aybxay-bx?

Its an old KVPY Problem. You can try other such problems here -
KVPY problems.
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