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The equation of auxiliary circle of the ...

The equation of auxiliary circle of the ellipse `16x^(2) +25y^(2)+ 32x-100y= 284` is

A

`x^(2) +y^(2) +2x- 4y- 20= 0`

B

`x^(2) +y^(2)+2x- 4y= 0`

C

`(x+1)^(2) + (y-2)^(2)= 400`

D

`(x+1)^(2)+ (y-2)^(2)= 225`

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The correct Answer is:
A
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