On line

On line p: x = 4 + t, y = 3 + 2t, t is R, find point C, which has the same distance from points A [1,2] and B [-1,0].

Correct answer:

x =  2
y =  -1

Step-by-step explanation:

x=4+t y=3+2t  (4+t1)2 + (3+2 t2)2 = (4+t(1))2 + (3+2 t0)2  12t=24  12 t=24  12t=24  t=1224=2  t=2  x=4+t=4+(2)=2
y=3+2 t=3+2 (2)=1



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