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. form 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 anlge bisectors are given by
`(24x+7y-20)/25 = +-(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.