Technical Drawing - Exam Papers - Higher - 1994 - Paper 1

Question 6

(a) A point P on the curve of an ellipse is 45 mm from the focus and 70 mm from the directrix.
The vertex of the ellipse is 40 mm from the directrix.
(i) Draw a portion of the curve to include the point P.
(ii) Find the centre of curvature of the point P.

(b) Draw a straight line ABF where AB = 90mm and BF = 30mm. F is one of the focal points of a double hyperbola, A is a point on one branch of the curve and B is a point on the other branch. The transverse axis is 50mm long.
Determine a position for the second focal point and draw a portion of the double curve.