Math Problem Statement
Identify a and b for the hyperbola with equation x2a2-y2b2=1.
a = b =
Solution
The given equation of the hyperbola is:
This is the standard form of a hyperbola with the transverse axis along the -axis. To identify and , follow these steps:
-
Understand the parameters:
- is the denominator under .
- is the denominator under .
-
Extract and :
- is the square root of the denominator under .
- is the square root of the denominator under .
Final Values:
Please provide the specific denominators (values of and ) from the hyperbola equation so I can calculate the exact and values for you.
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Math Problem Analysis
Mathematical Concepts
Analytic Geometry
Hyperbolas
Conic Sections
Formulas
Standard form of a hyperbola: (x^2/a^2) - (y^2/b^2) = 1
Relationship: a = sqrt(a^2), b = sqrt(b^2)
Theorems
Definition of a hyperbola
Properties of conic sections
Suitable Grade Level
Grades 10-12
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