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Q.) A line of fixed length 2 units moves so that its ends are on the positive x-axis and that part of the line x + y = 1 which lies in the second quadrant. Then the locus of the midpoint of the line has the equation
[A]
x² + 5y² + 4xy - 1 = 0
[B]
x² + 5y² + 4xy + 1 = 0
[C]
x² + 5y² - 4xy - 1 = 0
[D]
4x² + 5y² + 4xy + 1 = 0
[A] x² + 5y² + 4xy - 1 = 0
[B] x² + 5y² + 4xy + 1 = 0
[C] x² + 5y² - 4xy - 1 = 0
[D] 4x² + 5y² + 4xy + 1 = 0
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