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christa716 christa716
  • 29-12-2014
  • Mathematics
Answered

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)

Verified Answer :

crisforp
crisforp crisforp
  • 30-12-2014

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

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