Technical Graphics - Exam Papers - HL - 2005

The figure shows the design of a head rest for a car seat.
A sketch of the head rest is also shown.
The curve ABC is a parabola with vertex B.
The arc DEF is tangential to the ellipse at E.
A and C are focal points of the ellipse.
Draw the given design.

Show clearly the constructions necessary to determine the major and minor axes of the ellipse and the centre of the arc DEF.

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