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if tangents are drawn to the ellipse `x^(2)+2y^(2)=2` all points on the ellipse other its four vertices then the mid-points of the tangents intercepted between the coordinate axis lie on the curve

A

`(1)/(2x^(2))+(1)/(4y^(2))=1`

B

`(1)/(4x^(2))+(1)/(2y^(2))=1`

C

`(x^(2))/(2)+(y^(2))/(4)=1`

D

`(x^(2))/(4)+(y^(2))/(2)=1`

Text Solution

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The correct Answer is:
A
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