Quant Question Of The Day: 34
In triangle ABC, ∠BAC = 60° and O is a point inside the triangle such that ∠BOC = 120°. Which of the following is certainly true?
(1) O is orthocenter of the triangle ABC.
(2) O is circumcenter of the triangle ABC.
(3) Both (1) and (2) are true.
(4) None of (1) and (2) is certain.