Consider the following statements in respect of an equilateral triangle ABC.
1. There is a point P inside the triangle ABC such that each of its sides subtends an angle of 120° at P.
2. There is a point P inside the triangle ABC such that the triangle PBC is obtuse angled and A is the orthocenter of triangle PBC.
Which of the above statements is/are correct ?
1
1 only
2
2 only
3
Both 1 and 2
4
Neither 1 nor 2