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The family of curves defined by the equation x^2 + y^2 = r^2 represents:
Practice Questions
Q1
The family of curves defined by the equation x^2 + y^2 = r^2 represents:
Ellipses
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Questions & Step-by-Step Solutions
The family of curves defined by the equation x^2 + y^2 = r^2 represents:
Steps
Concepts
Step 1: Identify the equation given, which is x^2 + y^2 = r^2.
Step 2: Recognize that this equation is in the standard form of a circle's equation.
Step 3: Understand that in the equation of a circle, 'r' represents the radius.
Step 4: Conclude that the equation describes a circle centered at the origin (0,0) with radius 'r'.
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