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Math·Geometry and Trigonometry·Circles

hard

A circle in the $xy$-plane has its center at $(-5,5)$. Line $t$ is tangent to this circle at the point $(6,-1)$. Which of the following points also lies on line $t$?

A

$(0,\frac{11}{6})$

B

$(1,16)$

C

$(12,10)$

D

$(17,5)$