If  $P (1+\raisebox{1ex}{$t$}\!\left/ \!\raisebox{-1ex}{$\sqrt{2}$}\right.,2+\raisebox{1ex}{$t$}\!\left/ \!\raisebox{-1ex}{$\sqrt{2}$}\right.)$ be any point on a line then the range of values of t for  which the point P lies between the parallel lines

$x+2y=1 and 2x+4y=15$is

• A

  $-\frac{4\sqrt{2}}{5}<t<\frac{5\sqrt{2}}{6}$

• B

  $-\frac{4\sqrt{2}}{3}<t<\frac{5\sqrt{2}}{6}$

• C

  $t<\frac{-4\sqrt{2}}{3}$

• D

  $t<\frac{5\sqrt{2}}{6}$