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A line intersects x-axis at A(2, 0) and ...

A line intersects x-axis at `A(2, 0)` and y-axis at `B(0, 4)`. A variable lines PQ which is perpendicular to AB intersects x-axis at `P` and y-axis at `Q`. `AQ and BP` intersect at `R`. Locus of `R` is : (A) `x^2 + y^2 - 2x + 4y = 0` (B) `x^2 + y^2 + 2x + 4y = 0` (C) `x^2 + y^2 - 2x - 4y=0` (D) `x^2 + y^2 + 2x - 4y = 0`

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