Technical Drawing - Exam Papers - Higher - 1998 - Paper 1

Question 6

(a) Draw a triangle AFB, where AF is 40mm long, BF is 50mm long and AB is 87mm long. F is the focus of an ellipse and A and B are points on the curve. The eccentricity is 0.75.
(i) Draw a portion of the curve.
(ii) Locate a point on the ellipse 90mm from the directrix and find the centre of curvature for that point.

(b) Two lines PT and VT meet at an angle of 125°. PT is 75 mm long. V is the vertex of a parabola and VT is a tangent to the parabola at the vertex. PT is also a tangent to the curve and P is the point of contact. Locate the focus of the parabola and draw a portion of the curve.