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The locus of mid points of parts in betw...

The locus of mid points of parts in between axes and tangents of ellipse `x^2/a^2 + y^2/b^2 =1`will be

A

`(a^(2))/(x^(2)) + (b^(2))/(y^(2)) =4`

B

`(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =4`

C

`(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =16`

D

`(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =25`

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The correct Answer is:
A
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