7. Determine the coordinates of the foci of a hyperbola centred at the origin in each case. x² _y? 9. a) The hyperbola has equation: =-1. 4 b) The hyperbola has equation: x² y? =1. 25 4 c) The focal distance is equal to 12 and the transverse axis is vertical. d) (8, 0) is a vertex of the hyperbola and one of the asymptotes has equation: y=x.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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7. Determine the coordinates of the foci of a hyperbola centred at the origin in each case.
x² _y?
9.
a) The hyperbola has equation:
=-1.
4
b) The hyperbola has equation:
x²
y?
=1.
25
4
c) The focal distance is equal to 12 and the transverse axis is vertical.
d) (8, 0) is a vertex of the hyperbola and one of the asymptotes has equation: y=x.
Transcribed Image Text:7. Determine the coordinates of the foci of a hyperbola centred at the origin in each case. x² _y? 9. a) The hyperbola has equation: =-1. 4 b) The hyperbola has equation: x² y? =1. 25 4 c) The focal distance is equal to 12 and the transverse axis is vertical. d) (8, 0) is a vertex of the hyperbola and one of the asymptotes has equation: y=x.
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