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A conic C satisfies the differential equ...

A conic C satisfies the differential equation, `(1+y^2)dx - xy dy = 0` and passes through the point `(1,0)`.An ellipse E which is confocal with C having its eccentricity equal to `sqrt(2/3)` . find the equation of the ellipse E

A

`(x^(2))/(3)+(y^(2))/(1)=1`

B

`(x^(2))/(1)+(y^(2))/(3)=1`

C

`(x^(2))/(4)+(y^(2))/(9)=1`

D

`(x^(2))/(9)+(y^(2))/(4)=1`

Text Solution

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The correct Answer is:
A
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