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A line of fixed length 2 units moves so ...

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=0` which lies in the second quadrant. Then the locus of the midpoint of the line has equation. (a) `x^2+5y^2+4x y-1=0` (b) `x^2+5y^2+4x y+1=0` (c) `x^2+5y^2-4x y-1=0` (d) `4x^2+5y^2+4x y+1=0`

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