Consider the parabola `y^(2) = 4x`. Let S be the focus of the parabola . A pair of tangents drawn to the parabola from the point P = (-2 , 1) meet the parabola at `P_(1)` and `P_(2)` . Let `Q_(1)` and `Q_(2)` be points on the lines `SP_(1)` and `SP_(2)` respectively such that `PQ_(1)` is perpendicular to `SP_(1)` and `PQ_(2)` is perpendicular to `SP_(2)` . then , which of the following is/are TRUE ?

Options

A. `5Q_(1) = 2`
B. `Q_(1) Q_(2) = (3sqrt(10))/(5)`
C. `PQ_(1) = 3`
D. `5 Q_(2) = 1`