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When the origin is shifted to a suitable point, the equation 2x² + y² - 4x+4y=0 transformed as 2X² + Y² - 8X + 8Y + 18=0. The point to which origin was shifted is

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(1,2)

(1,-2)

(-1,2)

(-1,-2)

answer is C.

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Detailed Solution

Sub $x = X + h, y = Y + k$ subtute in $2 x^{2} + y^{2} - 4 x + 4 y = 0$

compare second equation

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