The correct passive form of the given sentence is A new online course in Entrepreneurship is being offered by this institute.

The active voice is formed by putting the subject of the sentence before the verb and the past participle of the main verb. In this case, the subject of the sentence is "this institute" and the main verb is "offer." The past participle of "offer" is "offered." So, the active form of the sentence is "This institute is offering a new online course in Entrepreneurship."

The passive voice is formed by putting the subject of the active sentence after the verb "to be" and the past participle of the main verb. In this case, the subject of the active sentence is "a new online course in Entrepreneurship" and the main verb is "offer." The past participle of "offer" is "offered." So, the passive form of the sentence is A new online course in Entrepreneurship is being offered by this institute.

The other options are incorrect because:

• A new online course in Entrepreneurship has offered this institute. is in the active voice, not the passive voice.
• A new online course in Entrepreneurship has been offered by this institute. is in the past perfect tense, while the original sentence is in the present tense.
• A new online course in Entrepreneurship is offered by this institute. is in the simple present tense, while the original sentence implies that the course is ongoing.