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The family of curves represented by the equation x^2 + y^2 = r^2 is known as:
Practice Questions
Q1
The family of curves represented by the equation x^2 + y^2 = r^2 is known as:
Ellipses
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Questions & Step-by-Step Solutions
The family of curves represented by the equation x^2 + y^2 = r^2 is known as:
Steps
Concepts
Step 1: Understand the equation x^2 + y^2 = r^2.
Step 2: Recognize that this equation describes a shape in a coordinate system.
Step 3: Identify that 'r' represents the radius of the shape.
Step 4: Realize that for different values of 'r', you get different circles.
Step 5: Conclude that the equation represents a family of circles with varying radii.
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