Question
The center of the circle is (5,5) for the following circle.
x^2+y^2=25
Question 17 options:
True
False
x^2+y^2=25
Question 17 options:
True
False
Answers
GPT-4o mini
False.
The given equation of the circle is \(x^2 + y^2 = 25\). This equation is in the standard form of a circle centered at the origin \((0,0)\) with a radius of 5, since the equation can be rewritten as \((x - 0)^2 + (y - 0)^2 = 5^2\).
The center of the circle is \((0,0)\), not \((5,5)\).
The given equation of the circle is \(x^2 + y^2 = 25\). This equation is in the standard form of a circle centered at the origin \((0,0)\) with a radius of 5, since the equation can be rewritten as \((x - 0)^2 + (y - 0)^2 = 5^2\).
The center of the circle is \((0,0)\), not \((5,5)\).