Given three straight lines `2x+11 y-5=0,24 x+7y-20=0,` and `4x-3y-2=0` . Then, they form a triangle one line bisects the angle between the other two two of them are parallel

Options

A. from a triangle
B. are only concurrent
C. are concurrent with one line bisecting the angle between the other two
D. None of the above

Answer

C

Explanation

For the two lines
`24x+7y-20=0`
and `4x-3y-2=0,`
the angle bisectors are given by
`(24x+7y-20)/(25)=pm(4x-3y-2)/(5)`
Taking positive sign, we get
`2x+11y-5=0`
So, the given three lines are concurrent with one line bisecting the angle between the other two.