If the length of the latus rectum of a parabola, whose focus is $( a , a )$ and the tangent at its vertex is $x + y = a$, is 16 , then $| a |$ is equal to (1) $2 \sqrt { 2 }$ (2) $2 \sqrt { 3 }$ (3) $4 \sqrt { 2 }$ (4) 4
If the length of the latus rectum of a parabola, whose focus is $( a , a )$ and the tangent at its vertex is $x + y = a$, is 16 , then $| a |$ is equal to\\
(1) $2 \sqrt { 2 }$\\
(2) $2 \sqrt { 3 }$\\
(3) $4 \sqrt { 2 }$\\
(4) 4