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

(2, 1)

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(1, 2)

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(2, - 2)

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(1, - 2)

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Solution

The correct option is A $(2, 1)$
Lines $x + y - 5 = 0$ and $x - y + 1 = 0$ are perpendicular to each other
Therefore, the given triangle is a right angle triangle and for a right angled triangle circumcentre is midpoint of hypotenuse.
The end points of the hypotenuse is given by $(0, 1)$ and $(4, 1)$
Therefore, circumcentre is $(2, 1)$

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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

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