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Question: The equations of the sides of a triangle are \(x + y - 5 = 0;\mspace{6mu}\) \(x - y + 1 = 0\) and \(...

The equations of the sides of a triangle are x+y5=0;6mux + y - 5 = 0;\mspace{6mu} xy+1=0x - y + 1 = 0 and y1=0,y - 1 = 0, then the coordinates of the circumcentre are.

A

(2,1)

B

(1,2)

C

(2,–2)

D

(1, –2)

Answer

(2,1)

Explanation

Solution

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