QJEEAdv03Ma68fb: JEE Advanced 2003 Mathematics - Class 12 JEEAdv03Ma68fb Solution: Tangent is drawn to ellipse x 2 27 + y 2 = 1 a t ( 3 3 cos ⁡ θ…

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Tangent is drawn to ellipse

\frac{x^{2}}{27} + y^{2} = 1 a t (3 \sqrt{3} \cos θ, \sin θ) (w h e r e θ \in (0, π / 2))

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Then the value of $θ$ such that sum of intercepts on axes made by this tangent is minimum, is

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