Q.
A, B, C are the angles in a triangle cotA,cotB,cotC are the roots of x3−λ1x2+λ2x−λ3=0 then
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a
λ2=0
b
λ2=1
c
λ3=-1
d
λ3=1
answer is B.
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Detailed Solution
In ΔABC, cotAcotB+cotBcotC+cotCcotB=1 ∵A+B+C=π⇒λ2=1
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