The statement that states that the axis is the imaginary line which runs through the 'center of the earth' between the South and North Poles is true.
<u>Explanation:</u>
The Earth rotates on its geographic axis which is inclined at an angle of 23.5° with respect to the horizontal plane of the Earth's rotation.
This axis passes through the geographic poles of and makes a straight line connecting the two poles located on two different hemispheres of the planet.