Hey, I'm struggling with this question:
The point P lies on the parabola C with equation where a is a positive constant. The point Q lies on the directrix of C. The point Q also lies on the X axis.
State the co-ordinates of the focus of C and the co-ordinates of Q.
The tangent to C at P passes through the point Q.
Also, find, in terms of a, the two sets of possible coordinates of P.
I don't know where to get stared with this question.