They can have only one point in common.
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It is the opposite ray.
One. Because a ray starts with a fixed point and endlessly extends on the opposite side. Thus there is only one endpoint.
Opposite Ray!
A ray has one origin point and no end points. If it had an end point it would be a line.
Because we can't see the image you're referring to, we can't give the answer to which ray is opposite to BA. However, we can help. Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. So, if there are two rays (BA and BC) with a common endpoint (B) going in different directions, they are called opposite rays.