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If x = u^2 − v^2, y = 2uv and z = u^2 + v^2, and if x = 11, what is the value of z?

If x = u^2 − v^2, y = 2uv and z = u^2 + v^2, and if x = 11, what is the value of z? GMAT Explanation

If \( x = u^2-v^2 \), \( y = 2uv \) and \( z = u^2+v^2 \), and if \( x = 11 \), what is the value of z?

(1) y = 60
(2) u = 6

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Correct Answer: D