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Questions  

if the points A(λ,2λ),B(3λ,3λ) and  C(3,1) are collinear, then λ=

a
1/3
b
-1/3
c
2/3
d
-2/3

detailed solution

Correct option is B

If points A(λ,2λ),B(3λ,3λ) and C(3,1) are collinear, thenλ2λ13λ3λ1311=0⇒λ(3λ−1)−2λ(3λ−3)+(3λ−9λ)=0⇒λ(3λ+1)=0⇒λ=−13              [∵λ≠0]

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