Suppose the Line $x - 7 y + 55 = 0$

Multiple Choice

Suppose the line $x - 7 y + 55 = 0$ intersects the circle $x ^ { 2 } - 10 x + y ^ { 2 } - 10 y = - 25$ at points $P$ and $e$ . Find the length of the chord $\overline { P Q }$ .

A) $\sqrt { 5 }$
B) $5 \sqrt { 2 }$
C) $2 \sqrt { 5 }$
D) $36 \sqrt { 2 }$
E) $6 \sqrt { 2 }$