Let $K$ be the set of all points $(x , y)$ such that $| x | + | y | \leq 1$. Given a point $A$ in the plane, let $F _ { A }$ be the point in $K$ which is closest to $A$. Then the points $A$ for which $F _ { A } = ( 1,0 )$ are
(A) all points $A = ( x , y )$ with $x \geq 1$.
(B) all points $A = ( x , y )$ with $x \geq y + 1$ and $x \geq 1 - y$.
(C) all points $A = ( x , y )$ with $x \geq 1$ and $y = 0$.
(D) all points $A = ( x , y )$ with $x \geq 0$ and $y = 0$.
Let $K$ be the set of all points $(x , y)$ such that $| x | + | y | \leq 1$. Given a point $A$ in the plane, let $F _ { A }$ be the point in $K$ which is closest to $A$. Then the points $A$ for which $F _ { A } = ( 1,0 )$ are\\
(A) all points $A = ( x , y )$ with $x \geq 1$.\\
(B) all points $A = ( x , y )$ with $x \geq y + 1$ and $x \geq 1 - y$.\\
(C) all points $A = ( x , y )$ with $x \geq 1$ and $y = 0$.\\
(D) all points $A = ( x , y )$ with $x \geq 0$ and $y = 0$.