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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