Tofind:the conic without completing the square and rotational axes.
Answer to Problem 41RE
The equation is parabolic 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:
Here
According to the formula:
The general equation of conic:
Here
Let’s check the VALUE OF
A parabola if
It satisfies the equation of parabola
Hence the equation is parabolic equation.
Chapter 10 Solutions
Precalculus
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