The correct option is
B have had this camera for ten years.
The present perfect tense is used to describe something that happened in the past, but the exact time it happened is not important. It has a relationship with the present.
Have/has + past participle makes the present perfect.
In this sentence, we are looking into something that has always been there (having the camera) which means we supposed to use the present perfect form. Now since, the whole sentence is in the first person, we would be using "have" and not "has".
("have" is used in case of first and second person framed sentences.)
Now, for the past participle, it the form of a verb, typically ending in -ed in English, which is used in forming perfect and passive tenses and sometimes as an adjective. In this case the past becomes, "had"
This makes option B correct