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Find the point on the y - axis which is equidistant from the points (-5, -2) and (3, 2)?
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Find the point on the y - axis which is equidistant from the points (-...
Let suppose the point on Y axis is A

So the A(0,y)_______________________

(-5,-2) = P__________________

(3,2)=Q__________________________

AP²= AQ²(Equidistant point)__________

By distance formula__________

(0-(-5))² + [(y-(-2)]² =[(0-3)]² + (y-2)²

25+y²+4y+4 = 9+ y²-4y+4

4y +4y=9-25 (like term)

8y=-16

y=-16/8

y=-2

A(0,-2)


Therefore the coordinates (5,-2) and (-3,2) is equidistant on Y axis at point (0,-2)

That's all🙂..If u can't get it properly. . open reply section then answer will be visible step by step.. If it is not the answer the u can also reply me.. . I will clear my mistake if I did anywhere.
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Find the point on the y - axis which is equidistant from the points (-5, -2) and (3, 2)?
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