# Prove that the straight lines #ax^2+2hxy+by^2+lambda(x^2+y^2)=0# have the same pair of bisectors for every value of #lambda#?

##### 1 Answer

Aug 8, 2018

The given eqyation of a pair of straight line is

Where

The equation of the pair of bisectors becomes

This eqution is independent of

So the given pair of lines have the same pair of bisectors for every value of