JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

A point on the ellipse , where the normal is parallel to the line , is

Answer: (B),(D)

Solution

Intended ellipse: . At the tangent is , with slope , so the normal has slope .

Normal parallel to (slope ):

=Missing argument for \frac\frac65\ ⇒\ =.

Substituting: $+3·=37

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Question ID VK-109110