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JEE Main 2022 Mathematics question

MathematicsEllipseJEE Main 2022

Let the maximum area of the triangle that can be inscribed in the ellipse , a > 2, having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to the y-axis, be . Then the eccentricity of the ellipse is -

Answer: (1)

Solution

Take A(a, 0), B(a , 2 ) and , −2 ), so is parallel to the y-axis. The area is . Setting the

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Question ID VK-024228