if the point P (x,y) is equidistant from the points A (5,1) and B (-1,5), prove that 3x=2y
Answers
Answered by
4
PA=PB
=>(X-5)^2+(Y-1)^2=(X+1)^2+(Y-5)^2
=>x^2+25-10x+y^2+1-2y=x^2+1+2x+y^2+25-10y
=>-10x-2x=-10y+2y
=>-12x=-8y
=>3x=2y[PROVED]
=>(X-5)^2+(Y-1)^2=(X+1)^2+(Y-5)^2
=>x^2+25-10x+y^2+1-2y=x^2+1+2x+y^2+25-10y
=>-10x-2x=-10y+2y
=>-12x=-8y
=>3x=2y[PROVED]
Similar questions