If the points `A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1)` are collinear, then `lambda=`

Options

A. `1//3`
B. `1//3`
C. `2//3`
D. `2//3`

Answer

B

Explanation

If points `A(lambda, 2lambda), B(3lambda,3lambda) and C(3,1)` are collinear, then
`|{:(lambda,2lambda,1),(3lamda,3lambda,1),(3,1,1):}|=0`
`rArr lambda(3lambda-1)-2lambda(3lambda-3)+(3lambda-9lambda)=0`
`rArr lambda(3lambda+1)0rArrlambda-(1)/(3)" " [ :. lambda ne0]`