Please help, its analytical geometry..

1) find the equation of the bisector of the interior angles of the triangle bounded by the lines x=3, y=4 and x+y=2.

2) Give the equation of the family of lines (a) having inclination 135°, (b) having x intercept, (c) perpendicular to the line 3x+5y=8.

Question

Please help, its analytical geometry..

1) find the equation of the bisector of the interior angles of the triangle bounded by the lines x=3, y=4 and x+y=2.

2) Give the equation of the family of lines (a) having inclination 135°, (b) having x intercept, (c) perpendicular to the line 3x+5y=8.

mathmale · Answer

I'd strongly recommend that you graph those 3 lines and thus be able to visualize the triangle that they form together.  Once you've done that, think about what "bisector of the interior angles" means.  Which line would that be on your drawing?