question_answer

The equations of the sides of a triangle are \[x+y-5=0;\ \] \[x-y+1=0\] and \[y-1=0,\] then the coordinates of the circumcentre are [MP PET 1996]

A) (2, 1)

B) (1, 2)

C) (2, -2)

D) (1, -2)

Correct Answer: A

Solution :

Since the triangle is right angled so the circumcentre will be the middle point of hypotenuse i.e. (2, 1).