6. A curve \(C\) is in the form of a parabola with equation \(y ^ { 2 } = 4 x\).
\(P \left( p ^ { 2 } , 2 p \right)\) and \(Q \left( q ^ { 2 } , 2 q \right)\) are points on \(C\) where \(p > q\).
- Find an equation of the tangent to \(C\) at \(P\).
(5) - The tangent at \(P\) and the tangent at \(Q\) are perpendicular and intersect at the point \(R ( - 1,2 )\).
- Find the exact value of \(p\) and the exact value of \(q\).
- Find the area of the triangle \(P Q R\).