To find: The equation represents a hyperbola?
Hence, option C is correct.
Given: System of equations
Concept Used: The standard equation of a hyperbola whose center is at origin is
And algebraic identity:
Calculation:
Solving all the system of equations:
(a)
This does not represent an equation of hyperbola.
(b)
This represents an equation of circle.
(c)
This represents an equation of hyperbola.
(d)
This does not represent an equation of hyperbola.
Conclusion:
Hence, option C is correct.
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education