**4.5 - 2013 Q11**

Figure 2 shows a sketch of the curve H with equation

A) Give the coordinates of the point where

B) Give the equations of the asymptotes to

C) Find an equation for the normal to

This normal crosses the

D) Find the length of the line segment

*H*crosses the*x*-axis. (1)B) Give the equations of the asymptotes to

*H*. (2)C) Find an equation for the normal to

*H*at the point*P*(–3, 3). (5)This normal crosses the

*x*-axis at*A*and the y-axis at*B*.D) Find the length of the line segment

*AB*. Give your answer as a surd. (3)