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The locus of the foot of prependicular d...

The locus of the foot of prependicular drawn from the center of the ellipse `x^(2)+3y^(2)=6` on any tangent to it is

A

`(x^(2)-y^(2))^(2) = 6x^(2)+2y^(2) `

B

`(x^(2) -y^(2))^(2) = 6x^(2)-2y^(2)`

C

`(x^(2)+y^(2))^(2 = 6x^(2)+2y^(2) `

D

`(x^(2)+y^(2))^(2)=6x^(2)-2y^(2)`

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The correct Answer is:
C
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