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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