Solution The given equation of the circle x2 + y 2 = 8x can be expressed as
(x – 4)2 + y2 = 16 Thus, the centre of the
circle is (4, 0) and radius is 4 Its intersection
with the parabola y2 = 4x gives
x2 + 4x = 8x
or
x2 – 4x = 0
or
x (x – 4) = 0
or
x = 0, x = 4
Thus, the points of intersection of these
two curves are O(0,0) and P(4,4) above the
x-axis From the Fig 8