Consider a curve \( C \) given by equation \( |z-3-2 i| \) \( =\left|z \cos \left(\frac{\pi}{4}...

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Consider a curve \( C \) given by equation \( |z-3-2 i| \)
\( =\left|z \cos \left(\frac{\pi}{4}-\arg z\right)\right| \), then
(a) represents a parabola
(b) C represents a ellipse
(c) point \( P\left(\frac{7+3 i}{2}\right) \) lies on \( C \)
(d) Point \( P\left(\frac{7+3 i}{4}\right) \) lies on C
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