Locus qn. (1 Viewer)

[Getteral09]

Hey,

can any of you can solve this maths problem?

Find the equation of the locus of a point that moves so that it is equidistant from the line 3x+4y-5=0 and the line 5x+12y-1=0.

Thanks,


Getteral

 

[pLuvia]

Let P(x,y) be a point on the locus
|3x+4y-5|/sqrt{9+16}=|5x+12y-1|/sqrt{25+144}
Then find the line from there