In the 1600s, René Descartes married algebra and geometry to create the Cartesian plane.

\(ABC\) is a right triangle with \( \angle ABC = 90 ^ \circ \).

If \( A = ( 4, 9 ) \) and \( B = ( 11, 14) \), which of the following is a possible coordinate for \(C\)?

The point \( P:(4, -26) \) is reflected across the origin, and now becomes the point \( P':(a,b) \).

What is \( a + b \)?

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