Mathematics 30 June 1999 Grade 12 Diploma Exam
Mathematics 30 June 1999 Grade 12 Diploma Exam
Mathematics 30 June 1999 Grade 12 Diploma Exam
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25. The foci of a hyperbola are F 1<br />
(–5, 0) and F 2<br />
(5, 0). If point (–3, 0) lies on<br />
the graph of the hyperbola, then the value of PF 1 − PF 2<br />
, where P<br />
is any point on the graph of the hyperbola, is<br />
A. 4<br />
B. 6<br />
C. 10<br />
D. 16<br />
Use the following information to answer the next question.<br />
A drawing of the cross section of the stadium roof is a semiellipse with foci<br />
at F 1<br />
and F 2<br />
, as shown below. The distance from F 2<br />
to point P at the end<br />
of the longest axis is 8 m.<br />
F 1<br />
F 2<br />
P<br />
8 m<br />
26. If the ellipse has an eccentricity of<br />
4 , then the distance from point P to the<br />
5<br />
nearest directrix, correct to the nearest metre, is<br />
A. 5 m<br />
B. 8 m<br />
C. 9 m<br />
D. 10 m<br />
17