Tangent is drawn to ellipse x^ 2 27 +y^ 2 =1 at (3 3 , ) (where θ ∈ (0, π/2)). Then the…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
Tangent is drawn to ellipse \(\frac{x^{2}}{27}+y^{2}=1\) at
\((3 \sqrt{3} \cos \theta, \sin \theta)\)(where θ ∈ (0, π/2)). Then the value of θ such that sum of intercepts on axes made by this tangent is minimum, is
\((3 \sqrt{3} \cos \theta, \sin \theta)\)(where θ ∈ (0, π/2)). Then the value of θ such that sum of intercepts on axes made by this tangent is minimum, is
- π/3
- π/6
- π/8
- π/4
Answer
(A) π /3
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