Help with locus qn. (1 Viewer)

[Getteral09]

Hey ppl! Can anyone help me with this locus question?

Find the equation of the locus of a point that moves so that it is equidistant from the line 4x-3y+2=0 and the line 3x+4y-7=0.


Thanks,


Getteral

 

[followme]

|4x-3y+2|/√(16+9)=|3x+4y-7|/√(16+9)
.: |4x-3y+2|=|3x+4y-7|
ie 4x-3y+2=3x+4y-7 or 4x-3y+2=-(3x+4y-7)
...
Ans: x-7y+9=0 and 7x+y-5=0