SOLUTION: Find the center, vertices, foci and asymptotes for the hyperbola 25x^2

SOLUTION: Find the center, vertices, foci and asymptotes for the hyperbola 25x^2 - 4y^2 = 100.

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!
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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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