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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Consider an ellipse having its foci at A(z1)A\left(z_1\right) and B(z2)B\left(z_2\right) in the argand plane. If the eccentricity of the ellipse is ee and it is known that origin is an interior point of the ellipse, then
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Correct option: B
e∈(0,∣z1−z2∣∣z1∣+∣z2∣)e \in\left(0, \frac{\left|z_1-z_2\right|}{\left|z_1\right|+\left|z_2\right|}\right)
Option B is correct because the eccentricity ee must satisfy the condition e∈(0,∣z1−z2∣∣z1∣+∣z2∣)e \in (0, \frac{{|z_1-z_2|}}{{|z_1|+|z_2|}}) for the origin to be an interior point of the ellipse.

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