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Questions  

 If coordinates of orthocentre and centroid of a triangle are (4, -l) and (2, I ), respectively, then coordinates of a point which is equidistant from the vertices of the triangle is

a
(2,2)
b
(3,2)
c
(2, 3)
d
(1,  2)

detailed solution

Correct option is D

The point which is at equal distances from all three vertices in a triangle is circum center Centroid divides line joining orthocentre and circumcentre in the ratio 2: I. Let circumcentre be (x, y). ∴ 2x+42+1=2⇒x=1 and 2y−12+1=1⇒y=2 Circumcentre ≡(1,2)

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