Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The radius of the circle is 3 units.The center of the circle lies on the x-axis.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.The standard equation of a circle is:[tex]x^{2} +y^{2} +2gx+2fy+c=0[/tex]Given circle equation:[tex]x^{2} +y^{2} -2x-8=0[/tex]on comparing 2gx = -2xg = -22fy = 0f = 0Center = (2,0)radius r = [tex]\sqrt{g^{2}+f^{2}-c }[/tex]= [tex]\sqrt{9}[/tex]r = 3 units.Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.Learn more about the circle and radius here:https://brainly.com/question/28946570#SPJ1