Let the eccentricity of an ellipse x^ 2 /a^ 2 + y^ 2 /b^ 2 = 1, a > b, be 1/4. If this ellipse passes through the point (-4 2/5 , 3), then a^ 2 + b^ 2 is equal to :

JEE Main 2022 Mathematics question

Let the eccentricity of an ellipse , a > b, be 1/4. If this ellipse passes through the point (, 3), then is equal to :

Answer: (2)

With e = 1/4, , so . The point (, 3) lies on the ellipse: (5a^{2})b^{2}$

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Question ID VK-034608