MathematicsMedium74×since 2004Q3774If tangents are drawn to the ellipse x2 + 2y² = 2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve :Ax22+y24=1{{{x^2}} \over 2} + {{{y^2}} \over 4} = 12x2+4y2=1B12x2+14y2=1{1 \over {2{x^2}}} + {1 \over {4{y^2}}} = 12x21+4y21=1C14x2+12y2=1{1 \over {4{x^2}}} + {1 \over {2{y^2}}} = 14x21+2y21=1Dx24+y22=1{{{x^2}} \over 4} + {{{y^2}} \over 2} = 14x2+2y2=1Check answerSkip