In the \(xy\)-plane, region \(Q\) consists of all points \((x,y)\) such that \(x^2+y^2\leq 100.\) Is the point \((a,b)\)

[Vincen]

In the \(xy\)-plane, region \(Q\) consists of all points \((x,y)\) such that \(x^2+y^2\leq 100.\) Is the point \((a,b)\) in region \(Q?\)

(1) \(a+b=14\)

(2) \(a>b\)

Answer: E

Source: Manhattan GMAT