When the origin is shifted to ( - 1 , 2 ) by the translation of axes, the transformed equation of x 2 + y 2 + 2 x - 4 y + 1 = 0 is

Question

When the origin is shifted to ( - 1 , 2 ) by the translation of axes, the transformed equation of x 2 + y 2 + 2 x - 4 y + 1 = 0 is, X 2 + Y 2 = 4, X 2 + Y 2 = 16, X 2 + 2 X + Y 2 = 4, X 2 - 2 X + Y 2 = 16

MARKS App · Accepted Answer

X = x + 1 , Y = y - 2 x 2 + y 2 + 2 x - 4 y + 1 = 0 is satisfied by X , Y ⇒ x + 1 2 + y - 2 2 = 4 ⇒ X 2 + Y 2 = 4

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