Question 1087977: Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 = 100.
Answer by ikleyn(52797)   (Show Source):
You can put this solution on YOUR website! .
Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 = 100.
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 = 100 ====> (divide by 100 both sides) ====>
 -  = 1.
The center is (0,0), the origin.
The real axis is horizontal line y = 0, coinciding with x-axis.
The vertices are (-2,0) and (2,0), where 2 -  .
The distance from the center to either focus is c =  =  .
See the lessons
- Hyperbola definition, canonical equation, characteristic points and elements
- Standard equation of a hyperbola
- Identify elements of hyperbola given by its standard equation
- Find the standard equation of a hyperbola given by its elements
- OVERVIEW of lessons on hyperbolas
in this site.
Also, you have this free of charge online textbook in ALGEBRA-II in this site
ALGEBRA-II - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic
"Conic sections: Hyperbolas. Definition, major elements and properties. Solved problems".
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