If the tangent to the curve, $y=x^{3}+a x-b$ at the point $(1,-5)$ is perpendicular to the line, $-x+y+4=0$, then which one of the following points lies on the curve ?
$(-2,2)$
$(2,-2)$
$(2,-1)$
$(-2,1)$
Correct Option: , 2
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