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