To find: The maximum number of solutions of equations.
Answer to Problem 10STP
The maximum number of solutions is 4.
Explanation of Solution
Given information:
The given information is a equation which consists of a
Calculation:
When a quadratic system contains two
If the hyperbola and circle have same center and radius of the circle is greater than the half of the length of transverse axis of hyperbola, system consisting of two conics will have four solutions.
For example, the equation of the circle is,
The circle has its center at origin and radius equal to
Compute a hyperbola with center at origin and transeverse axis of length less than
For example,
The above hyperbola intersects the circle
The graph of the two conics is shown in figure
Figure
Chapter 10 Solutions
Algebra 2
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