Q. 6 A5.0( 5 Votes )

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

Answer :

Given points are A(- 5, - 2) and B(3, 2).



We need to find a point on y - axis which is equidistant from these points.


Let us assume the point on y - axis be S(0, y).


We know that distance between the points (x1, y1) and (x2, y2) is .


From the problem,


SA = SB


SA2 = SB2


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


(5)2 + (y + 2)2 = (- 3)2 + (y - 2)2


25 + y2 + 4y + 4 = 9 + y2 - 4y + 4


8y = - 16



y = - 2


The point on y - axis is (0, - 2).


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