JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

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Application +4 | -1

If the equation

2{x^2} + {y^2} - 4x - 4y = 0

is transformed to the equation

2{X^2} + {Y^2} - 8X - 8Y + 18 = 0

by shifting the origin at a point

P

without rotating the coordinates axes, then the coordinates of

P

are

View answer and explanation

Correct option: D

\left( { - 1, - 2} \right)

Option D ((-1,-2)) is correct because it represents the shift in origin that transforms the first equation into the second.

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