Find the point on the line y = 5x + 2 that is closest to the origin.

sjeikdom0

sjeikdom0

Answered question

2021-06-12

Find the point on the line y=5x+2 that is closest to the origin.

Answer & Explanation

krolaniaN

krolaniaN

Skilled2021-06-13Added 86 answers

let the point be (x,5x+2)
We have to minimize
d=x2+(5x+2)2
d=2x+10(5x+2)=0
52x=20
x=1026=513
y=113
(513,113)

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