In triangle ABC, O is the orthocenter and angle BOC is 120 deg. Calculate angle BAC.

What is the total number of points in the plane of triangle ABC which is equidistant from the vertices of the triangle?

Find the value of 'a' for which x+3x+a24 is a perfect square.

If ab-1b=cb-1c=ac-1a, then ac+ba+cb

Find the unit digit of the expression

312+322+332+342+352+362+372+382+392

The value of 1/64 is equal to square of

In the question, a word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as in two matrices given below. The columns and rows of Matrix I are numbered from 0 to 4 and that of Matrix II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, e.g., 'B' can be represented by 42, 34, etc. and 'Z' can be represented by 57, 96 etc. You have to identify the set for the word 'FAZE'.

Which of the following cube in the answer figure cannot be based on the unfolded cube in the question figure?