Technical Drawing - Exam Papers - Higher - 1996 - Paper 1

Question 6

(a) The distance of the focus from the vertex of a hyperbola is 15mm. A point P on the curve is 90mm from the focus and 70mm from the directrix. Draw a portion of the curve.

(b) Draw a triangle FPF₁ where FP = 130mm, PF₁ = 70mm and FF₁ = 100mm. F and F₁ are the foci of a double hyperbola and P Is a point on the curve.
(I) Draw a portion of the double hyperbola.
(ii) Determine the asymptotes to the curve.