Let $E$ denote the parabola $y ^ { 2 } = 8 x$. Let $P = ( - 2,4 )$, and let $Q$ and $Q ^ { \prime }$ be two distinct points on $E$ such that the lines $P Q$ and $P Q ^ { \prime }$ are tangents to $E$. Let $F$ be the focus of $E$. Then which of the following statements is (are) TRUE ? (A) The triangle $P F Q$ is a right-angled triangle (B) The triangle $Q P Q ^ { \prime }$ is a right-angled triangle (C) The distance between $P$ and $F$ is $5 \sqrt { 2 }$ (D) $F$ lies on the line joining $Q$ and $Q ^ { \prime }$
Let $E$ denote the parabola $y ^ { 2 } = 8 x$. Let $P = ( - 2,4 )$, and let $Q$ and $Q ^ { \prime }$ be two distinct points on $E$ such that the lines $P Q$ and $P Q ^ { \prime }$ are tangents to $E$. Let $F$ be the focus of $E$. Then which of the following statements is (are) TRUE ?\\
(A) The triangle $P F Q$ is a right-angled triangle\\
(B) The triangle $Q P Q ^ { \prime }$ is a right-angled triangle\\
(C) The distance between $P$ and $F$ is $5 \sqrt { 2 }$\\
(D) $F$ lies on the line joining $Q$ and $Q ^ { \prime }$