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A line is drawn form A(-2,0) to intersec...

A line is drawn form `A(-2,0)` to intersect the curve `y^2=4x` at `P` and `Q` in the first quadrant such that `1/(A P)+1/(A Q) lt 1/4` Then the slope of the line is always. (A) `gt sqrt(3)` (B) `lt 1/(sqrt(3))` (C) `gt sqrt(2)` (D) `gt 1/(sqrt(3))`

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