Ques. -16

Geometry Level 4

Tangent is drawn to the ellipse x227+y2=1\frac{x^2}{27}+y^2=1 at (33cosθ,sinθ)(3 \cdot \sqrt{3} \cos\theta,\sin\theta) [whereθ(0,π2)][ where \theta \in \left( 0,\frac{\pi}{2}\right)]. then, the value of θ\theta such that the sum of intercepts on axes made by this tangent is minimum, is :


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