Question

question 6 of 10

which of the following circles have their centers on the \\(y\\)-axis?

check all that apply.

a. \\((x - 4)^2 + (y - 0)^2 = 22\\)

b. \\((x + 1)^2 + (y - 7)^2 = 16\\)

c. \\((x - 0)^2 + (y - 0)^2 = 44\\)

d. \\((x - 0)^2 + (y + 5)^2 = 74\\)

Explanation:

Identify the condition for a center on the y-axis

$$
LATEXBLOCK0
$$

Analyze the given options

$$
LATEXBLOCK1
$$

Determine the correct choices

$$ \text{The circles with centers on the } y\text{-axis are C and D.} $$

Answer:

• A. \((x - 4)^2 + (y - 0)^2 = 22\)
• B. \((x + 1)^2 + (y - 7)^2 = 16\)
• C. \((x - 0)^2 + (y - 0)^2 = 44\) (Correct answer)
• D. \((x - 0)^2 + (y + 5)^2 = 74\) (Correct answer)