The centre of an ellipse is at (0, 0), major axis is on the y-axis. If the ellipse passes through (3, 2) and (1, 6), then what is its eccentricity?

NDA 2022 Mathematics question

The centre of an ellipse is at , major axis is on the -axis. If the ellipse passes through and , then what is its eccentricity?

Answer: (A)

Let the ellipse be (). Through : ; through : .

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Question ID VK-029471