Circles are drawn with diameter being any focal chord of the parabola \( y^{2}-4 x+4 y-8=0 \) will always touch a fixed line, its equation is-

A \( x+\frac{2}{3}=0 \)

B \( x-7=0 \)

C \( x+4=0 \)

D none of these

Solution

Correct Answer: Option C

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