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JEE MATHEMATICS MCQ: THEORY OF EQUATION

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Analyzing +4 | -1
The number of pairs (x,y)(x, y) which will satisfy the equation x2−xy+y2=4(x+y−4)x^2-x y+y^2=4(x+y-4), is
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Correct option: A
1
Option A (1) is correct because by completing the square and analyzing the discriminant, we find only one pair (4,4) satisfies the equation.

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