Find the equation of locus which moves so that equidistant from the points (-1,-2)& (3,4)
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Let A be -1,-2 and B be 3,4 and C be the point x,y which is equidistant from A and B
AC^2=(x--1)^2+(y--2)^2
BC^2=(x-3)^2+(y-4)^2
It is given
AC^2=BC^2
(x+1)^2+(y+2)^2=(x-3)^2+(y-4)^2
On simplifying
2x+1+4y+4=-6x+9-8y+16
8x+12y+5-25=0
8x+12y-20=0
2x+3y-5=0 this is the equation of locus
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