If any point on an ellipse is (3sinα, 5cosα), then what is the eccentricity of the ellipse?

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Question

Quantitative Aptitude

If any point on an ellipse is (3sinα, 5cosα), then what is the eccentricity of the ellipse?

This question was previously asked in

NDA 2 2025 GAT Question Paper (14-Sep-2025)

4/3

4/5

3/4

1/2

The correct answer is

1/2

The eccentricity of the ellipse can be calculated from the distance formula for the focal points and the geometry of the ellipse, resulting in 1/2.

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