A circle has the equation
. Which of the following statements is NOT true?
Options
A
The x-coordinate of the center is 1.
B
The y-coordinate of the center is -7.
C
The radius of the circle is 8.
D
The center of the circle is (1, -7).
Answer & Analysis
Answer
C
Analysis
Question Analysis
The main focus is to analyze the equation of the circle in standard form to identify the center coordinates and the radius, and then determine which statement is incorrect by comparing with the correct values.
Key Concept Explanation
The standard form of a circle's equation is , where represents the center of the circle and is the radius.
Step - by - Step Solution
1. Identify the center and radius from the equation:
Given the equation , we can rewrite as .
Comparing with the standard form , we have , , and .
Taking the square root of both sides of
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