A point on the ellipse, 4x^2 + 9y^2 = 36, where the normal is parallel to the line, 4x − 2y − 5 = 0, is :

JEE Main 2013 Mathematics question

A point on the ellipse, , where the normal is parallel to the line, 4x − 2y − 5 = 0, is :

Answer: (1)

; at (x₁, y₁) the tangent slope is , so the normal slope is (parallel to the given line) ⇒ . With : , so the two points are

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Question ID VK-104236