Find a point on the y-axis that is equidistant from the points (7, −7) and (1, 1).

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07-09-2017
Mathematics

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Find a point on the y-axis that is equidistant from the points (7, −7) and (1, 1).

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ghanami ghanami · Answer 1 · 2017-09-07T10:25:37+02:00

ghanami ghanami

07-09-2017

hello :
a point on the y-axis is : P( 0, y)
PA = PB or PA² = PB².... A(7, -7) B(1,1)
(7-0)²+(-7-y)² = (1-0)² + (1-y)²
49+49+14y+y² = 1+1-2y+y²
16y = - 96
y= - 6

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