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Offline Centres

A(3, 4, 5), B(2, 3, 1), C(–1, 6, 1) are the vertices of a triangle then
Statement - I : The circumcentre of $∆ ABC$ is (1, 5, 3)
Statement -II : The orthocentre of $∆ ABC$ is (2, 3, 1)
Which of the above statements is correct :

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Only II

Neither I nor II

Both I and II

Only I

answer is C.

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Detailed Solution

in a Right angled triangle, the circum center is at midpoint of the diagonal, and vertex at right angle is orthocenter.

The given triangle is right angled triangle

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