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

question 11

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) \(6 \sqrt { 2 }\)

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