[latexpage]

# Geometry

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.

### Solve our previous ‘questions of the day’

1. Abhishek Tandon

Option 3

When the figure is drawn it is evident that the vertices lie on the sides of circle because angle at the center is double made at the circumference Making BO and OC radius which makes all angles 60degrees of triangle. Hence for equilateral triangle circumcenter, orthocenter is the same point.

• Thank you for sharing the list ... i will try to read o...

By Peter Virdee , 6 months ago

• The collection of the questions are really great it wil...

By Peter Virdee , 8 months ago

• Mark bought 45 grinders for Rs. 2215, while carrying h...

By Alexander Zingman , 9 months ago

• Great thread ,i tried to do these but not able to do..t...

By Alexander Zingman , 9 months ago

• I will try 1000 SC to practice

By Peter Virdee , 9 months ago

• Amazing list of Questions and Answers...

By Peter Virdee , 9 months ago

• Great thanks to share here, amazing platform for the ma...

By Peter Virdee , 9 months ago

• @nishant thank you for this , i have also some confusi...

By Peter Virdee , 9 months ago

• Wednesday ...

By Alexander Zingman , 11 months ago