MathematicsMedium74×since 2004Q3786Let θ\thetaθ be the acute angle between the tangents to the ellipse x29+y21=1{{{x^2}} \over 9} + {{{y^2}} \over 1} = 19x2+1y2=1 and the circle x2+y2=3{x^2} + {y^2} = 3x2+y2=3 at their point of intersection in the first quadrant. Then tanθ\thetaθ is equal to :A523{5 \over {2\sqrt 3 }}235B23{2 \over {\sqrt 3 }}32C43{4 \over {\sqrt 3 }}34D2Check answerSkip