If the product of integers \(a\) and \(b\) is negative and the sum of their squares is greater than \(0\) but less than

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C

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If the product of integers \(a\) and \(b\) is negative and the sum of their squares is greater than \(0\) but less than \(86,\) then what is the maximum value of \(ab?\)

A. -42
B. -36
C. -18
D. -9
E. -1

Answer: E

Source: e-GMAT