InterviewSolution
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InterviewSolution
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A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot beA. 1B. 2C. `(3)/(2)`D. 4 |
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Answer» Correct Answer - D Let the verices of the triangle be `(cos theta_(i),sin theta_(i)), i=1,2,3`. `:.` Circumcenter is (0,0) Also orthocentre `-= (cos theta_(1)+cos theta_(2)+cos theta_(3))`, `sin theta_(1)+sin theta_(2) + sin theta_(3))` `rArr` Distance between the orthocentre and the circumcentre `sqrt((cos theta_(1)+cos theta_(2)+cos theta_(3))^(2)+(sin theta_(1)+sin theta_(2)+sin theta_(3))^(2))lt3` |
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