What is the constant difference for a hyperbola with a foci f1 (- 8, 0) and F2 (8,0) and the point on the hyperbola (8, 30)

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29-12-2014
Mathematics

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What is the constant difference for a hyperbola with a foci f1 (- 8, 0) and F2 (8,0) and the point on the hyperbola (8, 30)

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Crisforpidn Crisforpidn · Answer 1 · 2014-12-30T13:06:15-05:00

Crisforpidn Crisforpidn

30-12-2014

F1P - F2P = k ;
F1P = [tex] \sqrt{ (-8-8)^{2} + (0-30)^{2} } = \sqrt{64 + 900} = \sqrt{964} = 31.04;[/tex]
F2P = [tex] \sqrt{ (8-8)^{2} + (0-30)^{2} } = \sqrt{900} = 30;[/tex]
31.04 - 31 = 0.04 => k = 0.04 ;

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