MathematicsMedium74×since 2004Q3781Let a tangent be drawn to the ellipse x227+y2=1{{{x^2}} \over {27}} + {y^2} = 127x2+y2=1 at (33cosθ,sinθ)(3\sqrt 3 \cos \theta ,\sin \theta )(33cosθ,sinθ) where 0∈(0,π2)0 \in \left( {0,{\pi \over 2}} \right)0∈(0,2π). Then the value of θ\thetaθ such that the sum of intercepts on axes made by this tangent is minimum is equal to :Aπ6{{\pi \over 6}}6πBπ3{{\pi \over 3}}3πCπ8{{\pi \over 8}}8πDπ4{{\pi \over 4}}4πCheck answerSkip