A hyperbola has its centre at the origin and its transverse axis along the x-axis. The length of its transverse axis is 12 and its eccentricity is 35.
a. (i) Calculate the values of a,b and c.
b. (ii) Obtain the standard equation of the hyperbola.
c. (iii) Find the coordinates of the foci.
d. (iv) Write the equations of the asymptotes.