# Ques. -16

Geometry Level 4

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

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