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The circles that have their centers on the y-axis are those that have the equation x^2 + (y-k)^2 = r^2, where k is the y-coordinate of the center of the circle and r is the radius of the circle. In this case, the x-coordinate of the center is 0 since it lies on the y-axis.

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the ones that have

the point in the y axis

Q: What circles have their centers on the y-axis?

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Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid

They are the common tangents to the circles.

it intersects the segment joining the centers of two circles

A square does have a centre.

you draw a triangle formed by the centers of the two circles and use pythagoean theorem

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When the centers of both the circles are at the same point.

Which point is not located on the xaxis or the yaxis of a coordinate grid?Read more:Which_point_is_not_located_on_the_xaxis_or_the_yaxis_of_a_coordinate_grid

They're circles that may have different sizes but their centers are at the same point.

They are the common tangents to the circles.

it intersects the segment joining the centers of two circles

A square does have a centre.

you draw a triangle formed by the centers of the two circles and use pythagoean theorem

clarify your question a bit man !

False

up and down. the x goes left and right

.... then your graph is inverted.

The vertical y axis on the Cartesian plane is both negative and positive