If a>0 and the equation |z-a^2 |+|z-2a|=3 represents an ellipse, then a belongs to the interval

JEE Main Mathematics question

If and the equation represents an ellipse, then belongs to the interval

Answer: (C)

The equation is that of an ellipse with foci and when the distance between the foci is less than the constant sum :

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Question ID VK-014002