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The equation of auxiliary circle of the ...

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