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MHT CET Mathematics question

MathematicsEllipseMHT CET

The ellipse is inscribed in a rectangle aligned with the coordinate axes, which is turn in inscribed in another ellipse that passes through the point . Then, the equation of the ellipse is

Answer: (A)

Solution

The ellipse touches the sides , of the rectangle, whose vertices are . The outer ellipse has (it passes through ):

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Question ID VK-027385