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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`. The locus of `R` and the circle `x^2 + y^2 - 8y - 4 = 0` (A) touch each other internally (B) touche the given circle externally (C) intersect in two distinct points (D) neither intersect nor touch each other

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