SOLUTION: If length of transverse axis is 8 and conjugate axis is 10 and transverse axis is along x-axis then find the equation of hyperbola.

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Question 1184486: If length of transverse axis is 8 and conjugate axis is 10 and transverse axis is along x-axis then find the equation of hyperbola.
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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The hyperbola is centered at the origin of the coordinate system.


Its transverse semi-axis is  8/2 = 4 units along x-axis

and conjugate semi-axis is  10/2 = 5 units long.


So the sought equation of the hyperbola is


    x%5E2%2F4%5E2 - y%5E2%2F5%5E2 = 1.

Solved.