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If the axes are shifted to the point (1, -2) without rotation, what does the equation $2 x^{2} + y^{2} - 4 x + 4 y = 0$ become?

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X2+2Y2=6

2X2+Y2=6

2X2+Y2=4

X2+2Y2=4

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detailed solution

Correct option is B

Substituting x=X+1,y=Y−2 in the equation 2x2+y2−4x+4y=0, we get2(X+1)2+(Y−2)2−4(X+1)+4(Y−2)=0⇒ 2X2+Y2−6=0⇒2X2+Y2=6

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If the axes are shifted to the point (1, -2) without rotation, what does the equation 2x2+y2−4x+4y=0 become?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If the axes are shifted to the point (1, -2) without rotation, what does the equation $2 x^{2} + y^{2} - 4 x + 4 y = 0$ become?