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

Question 6

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(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.

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