In Using Lagrange Multipliers to Minimize the Function $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$

Multiple Choice

In using Lagrange multipliers to minimize the function $f ( x , y ) = x ^ { 2 } + y ^ { 2 }$ subject to the constraint that $x y = 2$ , what is the value of the multiplier $\lambda$ ?

A) $\frac { 1 } { 2 }$
B) 1
C) $\frac { 3 } { 2 }$
D) 2
E)
$\frac { 5 } { 2 }$
F) 3
G) $\frac { 7 } { 2 }$
H) 4