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JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1
Without change of axes the origin is shifted to (h,  k)\left( {h,\;k} \right), then from the equation

x2+y2−4x+6y−7=0{x^2} + {y^2} - 4x + 6y - 7 = 0 the terms containing linear powers are missing. The point (h,  k)\left( {h,\;k} \right) is
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Correct option: C
(2,−3)\left( {2, - 3} \right)
Option C ((2, -3)) is correct because shifting the origin to this point eliminates the linear terms in the equation.

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