Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. which statements are true? check all that apply.
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 answer is (A), (B) and (E).

Step-by-step explanation: The given equation of the circle is

We have

which is the standard form of the circle.

So, centre of the circle is (1, 0) and radius is 3 units.

Therefore, the centre lies on the X-axis.

Also, the radius of the circle is 3 units, which is same as the radius of our original circle.

Thus, options (A), (B) and (E) are correct.

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step-by-step explanation: