The equation of an altitude of an equilateral triangle is and one of the vertices is 


The possible number of triangle is 


a) 
1 
b) 
2 
c) 
3 
d) 
4 
The equation of an altitude of an equilateral triangle is and one of the vertices is 


The possible number of triangle is 


a) 
1 
b) 
2 
c) 
3 
d) 
4 
(b)
Let the triangle be with and altitude drawn through vertex (meeting at ) be . If is , then we have
And coordinates of is . Let coordinates of vertex be . Then,
Hence, the remaining vertices are (0, 0) and or and . Also, the orthocenter is or (2, 0)