Which of the following circles have their centers on the x-axis?
Check all that apply.
A. (x-0)2 + (y-0)² = 25
B. (x-4)2 + (y-0)² = 22
c. (x-0)2 + (y- 5)² = 49
D. (x + 1)2 + (y-7)² = 16

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

We have given circles equation in the options.

We know the standard form of a circle is:

(x - h)² + (y - k)² = r²

In the above equation (h, k) is the centre of the circle and r is the radius.

If the circles have their centres on the x-axis then,

k = 0

The centre becomes: (h, 0)

In the equation (x-4)² + (y-0)² = 22 the value of k is zero.

And the centre of a circle is (4, 0)

Thus, in the equation (x-4)² + (y-0)² = 22 the centre is on the x-axis and the centre of a circle is (4, 0) option (B) is correct.

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Which of the following circles have their centers on the x-axis? Check all that apply. A. (x-0)2 + (y-0)² = 25 B. (x-4)2 + (y-0)² = 22 c. (x-0)2 + (y- 5)² = 49 D. (x + 1)2 + (y-7)² = 16

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What is a circle?

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Which of the following circles have their centers on the x-axis?
Check all that apply.
A. (x-0)2 + (y-0)² = 25
B. (x-4)2 + (y-0)² = 22
c. (x-0)2 + (y- 5)² = 49
D. (x + 1)2 + (y-7)² = 16