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JEE Advanced Mathematics question

MathematicsEllipseJEE Advanced

The tangent at is drawn to the ellipse . Then the value of such that the sum of intercepts on axes made by the tangent is minimum is

Answer: (B)

Solution

Tangent: , i.e. . For the sum of intercepts is

z=3Missing argument for \sqrt\sqrt3θ+θ .

=3Missing argument for \sqrt\sqrt3θθ-θθ=0\ ⇒\

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Question ID VK-109099