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JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1
If the axes are shifted to the point (1,−2)(1,-2) without rotation, what does the equation 2x2+y2−4x+4y=02 x^2+y^2-4 x+4 y=0 become?
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Correct option: B
2X2+Y2=62 X^2+Y^2=6
Option B (2X² + Y² = 6) is correct because substituting x = X+1 and y = Y-2 into the original equation and simplifying results in 2X² + Y² = 6.

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