The Point $( 1 , - 2 )$ Is the Midpoint of a Chord of the Circle

question 12

Multiple Choice

The point $( 1 , - 2 )$ is the midpoint of a chord of the circle $x ^ { 2 } - 4 x + y ^ { 2 } + 2 y = 8$ . Find the length of the chord.

• A) \(4 \sqrt { 11 }\)
• B) \(\sqrt { 22 }\)
• C) \(22\)
• D) \(11 \sqrt { 2 }\)
• E) \(2 \sqrt { 11 }\)

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