Technical Drawing - Exam Papers - Higher - 1993 - Paper 1

Question 6

(a) AB and AC are two tangents to a parabola and they meet at an angle of 75°. The focus of the parabola is 50mm from AB and 30mm from AC. Draw a portion of the curve.

(b) Draw a straight line AFB where AF = 35 mm and FB = 55 mm. F is one of the focal points of an ellipse, A and B are points on the curve and the directrix is 55 mm from A.
(i) Draw a portion of the curve to include the points A and B.
(ii) Find the centre of curvature of the point B.