C is the curve y=
a1
----- (2x^2+(k+7)x+4)
k+1
where k is a real number not equal to -1.
(a) If C cuts the x axis at two points P and Q and PQ=1, find the value(s) of k.
(b)Find the range of values of k such that C does not cut the x-axis.
(c)Show that C always passes through two fixed points for all values of k not equal to -1. What are the coordinates of the two points?
