Question

How would I solve : find the point on the line 2x-4y = 3 that is closest to hte origin using lagrange multipliers????

Answer 1

let a point on the line (a,b) satisfy it with equation of line-
2a-4b=3---------equation 1
now slope of the line joining (a,b) to origin is b/a,and slope of given line is 1/2
now (1/2)X(b/a)=-1
by simplifying 2a+b=0------------equation 2
by solving b=-3/5
and a=3/10

Answer 2

Wondelful! Thanks

Answer 3

welcome.....