If z is a complex number in the Argand plane, then the equation |z−2|+|z+2|=8 represents:

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Parabola

Ellipse

Hyperbola

Circle

answer is B.

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Detailed Solution

|z−2|+|z+2|=8 Comparing with |z−z1|+|z−z2|=2a ∴ z1=2,z2=−2,2a=8 Here |z1−z2|<2a ∴ it is an elliplse

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