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  4. If the vertices of a triangle are A(3,-3), B(-3,3) and C(-3 √3,-3 √3), then the distance between the ortho-centre and the circum-centre is

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Q. If the vertices of a triangle are $A(3,-3), B(-3,3)$ and $C(-3 \sqrt{3},-3 \sqrt{3})$, then the distance between the ortho-centre and the circum-centre is

Coordinate Geometry

Solution:

(i) $A B C$ forms an equilateral triangle.
(ii) In an equilateral triangle all the geometric centres except ex-centre coincide.