Question

find the coordinates of the point y-axis which is equidistant from the point M (-5 ,-2) and N (3 ,2)

Answer 1

So the answer is:

point on y-axis x=0

point=(0,y)

equidistant from (5,-2) and(-3,2)

distance from first point=(25+y^2+y-4y)^1/2

distance from second point=(9+y^2+4-4y)^1/2

both equals

squaring both

29+y^2+4y=13+y^2-4y

8y=-16

y=-2

point=(0,2)