Q.

The ortho centre of triangle formed by the points (2,1,5),(3,2,3), (4,0,4) is

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a

(2.1.5)

b

(3,2,3)

c

(4,0,4)

d

(3,1,4)

answer is D.

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Detailed Solution

The points A(2,1,5), B(3,2,3),  and C(4,0,4) for an equilateral triangle. ∴orthocenter=centroid=2+3+43,1+2+03,5+3+43=3,1,4
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The ortho centre of triangle formed by the points (2,1,5),(3,2,3), (4,0,4) is