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.

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(52790) (Show Source): You can put this solution on YOUR website!
.


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


     -  = 1.

Solved.

RELATED QUESTIONS
Find the equation of hyperbola if transverse axis of hyperbola is along X-axis and its... (answered by CPhill)

Find an equation for a hyperbola centered at the origin with a horizontal transverse axis (answered by ewatrrr)

In hyperbola, Which is greater, transverse axis or conjugate... (answered by Gogonati,math-vortex)

If foci of a hyperbola are (0,±5) and length of semi transverse axis is 3 units, then... (answered by ikleyn)

find the foci, vertices, equations of the asyptotes, length of the transverse axis, and... (answered by lwsshak3)

Dear sir/Ma'am, Please help me with this math problem: center(1,-2), transverse... (answered by jsmallt9)

Dear Sir/Madam, A pleasant day! Please help me with this math problem, this is... (answered by lwsshak3)

Find the equation of a hyberbola with transverse axis on the line y= -5, length of... (answered by Edwin McCravy,lwsshak3)

Find the equation (hyperbola) foci at ( - 3, 1) and (7, 1) and length of the... (answered by MathLover1)