Consider the parabola y²=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 P₁ and P₂. Let Q₁ and Q₂ be points on the lines SP₁ and SP₂ respectively such that PQ₁ is perpendicular to SP₁ and PQ₂ is perpendicular to SP₂. Then, which of the following is/are TRUE?