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Which of the following circles have their centers on the y-axis?


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

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

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

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

?????

Verified Answer :

the answer is actually (x - 0)^2 + (y + 5)^2 = 74 and (x - 0)^2 + (y - 0)^2 = 44 on apex

SociometricStar

Answer:

Circles A and D have their centers on y-axis.

Step-by-step explanation:

The standard form of a circle is given by

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center and r is the radius of the circle.

Now, any point which is in the y- axis has x-coordinate equal to zero.

Since, center of the circle is in y-axis. Hence, x coordinate of the circle is zero. Thus, h = 0

\((x-0)^2+(y-k)^2=r^2\)

From the given options, circles A and D have their centers on y-axis.

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