**(a)** The minor axis of an ellipse is 90mm long and its focal points are 100mm apart.

Locate the major axis and draw the ellipse.

Draw a tangent to the ellipse at a point 55mm
from the centre of the curve.

**(b)** Shown below is the axis and focus of a hyperbola.
The position of a point P on the curve is also shown.

The eccentricity of the curve is 2/1.

Locate the directrix and vertex of the hyperbola.

Draw a portion of the curve which passes
through the given point P.