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Tofind:the conic without completing the square and rotational axes.
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Answer to Problem 44RE
The equation is hyperbolic equation.
Explanation of Solution
Given:
Concept used:
The general equation of conic:
Defines:
A parabola if
An ellipse if
A circle if
A hyperbola if
The general equation of conic if
Defines:
A parabola if
Here either
An ellipse if
That is
A circle if
That is
A hyperbola if
That is
Calculation:
According to the given:
Here
Thus,
According to the formula:
A hyperbola if
By putting the value of
It satisfies the equation of hyperbola
Hence the equation is hyperbolic equation.
Chapter 10 Solutions
Precalculus
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