Find the point on y axis which is equidistant

Asked by admin @ 13/08/2021 in Math viewed by 334 People

Find the point on the y-axis that is equidistant from the points (5,-2) and (-3,2)

Answered by admin @ 13/08/2021

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)

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