Question icon
Grade 10Algebra

In straight lines, Lesson about concurrency of three straight lines. I have a doubt. How to understand lamda*L1 + lamda*L2 + lamda*L3=0 where L1, L2 and L2 are straight lines. what is the derivation. if L1, L2 and L3 are non zero numbers, then for any three equations, cant we just say lamda*L1 + lamda*L2 + lamda*L3=0 and they are concurrent. please explain...

Profile image of nawfan
9 Years agoGrade 10
Answers icon

1 Answer

Profile image of Vikas TU
ApprovedApproved Tutor Answer9 Years ago
For concurrency write,
lemda(L1 + L2 + L3) = 0
multiply lemda with each straight line.
and then congregate each variable that is x, y, and z respectively.
and do coeff. of each variable = 0. 
and get the value of lemda.