If (3,-4) is the point to which the origin is shifted and the transformed equation is X2 +Y2 = 4 then the original equation is

X=x−3,Y=y+4 transformed equation is X2+Y2=4 Original equation is ⇒(x−3)2+(y+4)2=4 ⇒x2+y2-6x+8y+21=0

If (3,-4) is the point to which the origin is shifted and the transformed equation is X2 +Y2 = 4 then the original equation is

X=x−3,Y=y+4 transformed equation is X2+Y2=4 Original equation is ⇒(x−3)2+(y+4)2=4 ⇒x2+y2-6x+8y+21=0

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If (3,-4) is the point to which the origin is shifted and the transformed equation is X² +Y² = 4 then the original equation is

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$x^{2} + y^{2} - 6 x + 8 y + 21 = 0$

$x^{2} + y^{2} - 6 x - 8 y + 21 = 0$

$x^{2} + y^{2} + 6 x + 8 y + 21 = 0$

$x^{2} + y^{2} + 6 x + 8 y - 21 = 0$

answer is C.

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$X = x - 3, Y = y + 4 t r a n s f o r m e d e q u a t i o n i s X^{2} + Y^{2} = 4 O r i g i n a l e q u a t i o n i s \Rightarrow (x - 3)^{2} + (y + 4)^{2} = 4 \Rightarrow x^{2} + y^{2} - 6 x + 8 y + 21 = 0$

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If (3,-4) is the point to which the origin is shifted and the transformed equation is X2 +Y2 = 4 then the original equation is

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If (3,-4) is the point to which the origin is shifted and the transformed equation is X² +Y² = 4 then the original equation is