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If tangents are drawn to the ellipse x^(...

If tangents are drawn to the ellipse `x^(2)+2 y^(2)=2` then the locus of the midpoint of the intercept made by the tangents between the coordinate axes is

A

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

B

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