Questions
If are the roots of , the orthocenter of the triangle with vertices , , is
a
23,23,23
b
2,2,2
c
−23,23,23
d
−2,−2,−2
detailed solution
Correct option is A
The vertices , α,β,γ, β,γ,α, γ,α,β forms an equilateral triangle, so the orthocenter of the triangle coincide with centroid. Hence the ortho center is α+β+γ3,α+β+γ3,α+β+γ3When α,β,γare the roots of x3−2x2−5x+6=0, sum of the roots is α+β+γ=2Therefore, the ortho center is 23,23,23Talk to our academic expert!
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In the if , B = (3,2,0) and C = (0,1,4) then the length of the median passing through A is
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