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Chapter 10: Q 6. (page 643)

A(n)__________ is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

Short Answer

Expert verified

A(n) Parabola is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

Step by step solution

01

Step 1. Definition.

Definition of the parabola:

A parabola isthe set of points in a plane that are the same distance from a given point and a given line in that plane.

02

Step 2. Explanation.

Using definition of the parabola,

A parabola is the set of points in a plane that are the same distance from a given point and a given line in that plane.

03

Step 3. Conclusion.

Hence, A(n) Parabola is the collection of all points in the plane such that the distance from each point to a fixed point equals its distance to a fixed line.

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In Problems 31鈥� 42, rotate the axes so that the new equation contains no xy-term. Analyze and graph the new equation. Refer to Problems 21鈥�30 for Problems 31鈥� 40.

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