question_answer

The equations of the sides of a triangle are \[x+y-5=0,\text{ }x-y+1=0,\text{ }and\text{ }y-1=0,\] then the coordinates of the circumcenter are

A) (2, 1)    

B) (1, 2)

C) (2, -2)  

D) (1, -2)

Correct Answer: A

Solution :

[a] Since the triangle is right -angled, the circumcenter will be the middle point of hypotenuse, i.e., (2, 1).