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4.5 - 2013 Q11

Picture
Figure 2 shows a sketch of the curve H with equation
Picture
A) Give the coordinates of the point where 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)
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