Question

An equilateral triangle has a vertex at (0,0) and another at (3,√3). Coordinates of third vertex?

Answer 1

Answer:

The 3rd vertex need to be at

3²+√ 3² = 12

distance from both the vertices and should be inclined at 60 ∘

to the line joining these 2 coordinates. Clearly, (0,2 3 ) is 12 distance away from both the points whereas (3,−3 ) is not at said distance away from both the points. Also, line joining (0,2 3 ) and (0,0) is inclined at 60 ∘ with the line joining (0,0) and(3, 3 ). Hence, out of the given options, (0,2 ,3 ) is the required point.

Answer 2

Answer:

Correct option is

A

(0,2 3 ) only