Discussion Forum

The equation of the line passing through the point (-3,1)  and bisecting the angle between  coordinate axes  is 

Answer:

Explanation:

 Since, the line bisects the angle between coordinate axes,

Now, equation of the line passing through the point (-3,1) and making angle $\theta$ = 135° with positive direction of X-axis , is

 y-1=m(x+3)

$\Rightarrow$   y -1= $\tan 135^{0} (x+3)$

                                              [ $\because m= \tan \theta$  and $\theta =135^{0}$]

$\Rightarrow$     y-1=-1(x+3)

$\Rightarrow$    y-1= -x-3

$\Rightarrow$   x+y+2=0

 Hence, option (a) is correct.