Question 704005: write the equation of the hyperbola with a center at (0,0) vertices along the major axis at (5,0) and (-5,0) and minor axis with a length of 4
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! write the equation of the hyperbola with a center at (0,0) vertices along the major axis at (5,0) and (-5,0) and minor axis with a length of 4.
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I will assume what you call major and minor axis are transverse and conjugate axis respectively, for a hyperbola.
Standard form of an equation for a hyperbola with horizontal transverse axis:
 , (h,k)=(x,y) coordinates of the center.
For given hyperbola:
given center: (0,0)
length of horizontal transverse axis=10 (-5 to 5)=2a
a=5
a^2=25
given length of conjugate axis=4=2b
b=2
b^2=4
..
Equation:
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