(a) Suppose that a hyperbola has semifocal axis a and semiconjugateaxis b. Then for all

Chapter 10, Problem 4

(choose chapter or problem)

(a) Suppose that a hyperbola has semi focal axis a and semi-conjugate axis b. Then for all points on the hyperbola, the difference of the distance to the farther focus minus the distance to the closer focus is equal to .

(b) The two standard equations of a hyperbola with semi-focal axis a and semi conjugate axis b are and

(c) Suppose that a hyperbola in standard position has semi-focal axis a, semi conjugate axis b, and foci \((\pm c, 0)\).Then c may be obtained from a and b by the equation c = . The equations of the asymptotes of this hyperbola are \(y=\pm\) .

Equation Transcription:

Text Transcription:

(plus minus c, 0)

y=plus minus

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