Given two points P, Q on the parabola C:y=x2−x−2 in the xy plane.
Note that the x coodinate of P is less than that of Q.(a) If the origin O is the midpoint of the lines egment PQ, then find the equation of the line PQ.(b) If the origin O divides internally the line segment PQ by 2:1, then find the equation of PQ.(c) If the origin O divides internally the line segment PQ by 2:1, find the area of the figure bounded by the parabola C and the line PQ. calculusintegrationconicsparabolageometryanalytic geometrygraphing lines