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Let E denote the parabola y^2 = 8x. Let ...

Let E denote the parabola `y^2 = 8x`. Let `P = (-2,4)`, and let `Q and Q'` be two distinct points on E such that the lines `PQ` and `PQ'` are tangents to E. Let F be the focus of E. Then which of the following statements is (are) TRUE ?

A

The triangle PFQ is a right-angled triangle

B

The triangle QPQ' is a right-angled triangle

C

The distance between P and F is `5sqrt(2)`

D

F lies on the line joining Q and Q`

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