The circle (x−2)2+(y+1)2=10 has centre C(2,−1). Let P(5,0).
(i) Show that P lies on the given circle.
(ii) Obtain the equation of the tangent to the circle at P in general form.
(iii) Find the acute angle made by this tangent with the positive direction of the x-axis.
(iv) Determine the length of the segment of this tangent intercepted between the coordinate axes.