A) \[\left( \frac{3}{5},\frac{4}{5} \right)\]
B) \[(-2,-2)\]
C) \[\left( \frac{2}{5},-\frac{4}{5} \right)\]
D) \[\left( \frac{8}{3},\frac{1}{3} \right)\]
Correct Answer: C
Solution :
Here the intersection point of chord and circle can be found by solving the equation of circle with the equation of given line, therefore, the points of intersection are (?4, ?3) and\[\left( \frac{24}{5},\ \frac{7}{5} \right)\]. Hence the midpoint is\[\left( \frac{-4+\frac{24}{5}}{2},\ \frac{-3+\frac{7}{5}}{2} \right)=\left( \frac{2}{5},\ -\frac{4}{5} \right)\].
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