Write the coordinates of a point P on x- axis which is equidistant from the point A(-2,0) and B(6,0)

Write the coordinates of a point P on x- axis which is equidistant fro

1.	Write the coordinates of a point P on x- axis which is equidistant from the point A(-2,0) and B(6,0)
Answer» Let the required point P(x,y).Clearly ,we have PA=PBPA^2=PB^2(x+2)^2+(0-0)^2=(×-6)^2+(0-0)^2x^2+4+4x=x^2+36-12x16x=32X=2 hence the coordinate of P(x,y)=(2,0)