If \( P\left(1+\frac{t}{\sqrt{2}}, 2+\frac{t}{\sqrt{2}}\right) \) b...

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If \( P\left(1+\frac{t}{\sqrt{2}}, 2+\frac{t}{\sqrt{2}}\right) \) be any point on a line, then the range of values of \( t \) for which the point \( P \) lies
\( \mathrm{P} \) between the parallel lines \( x+2 y=1 \) and \( 2 x+4 y=15 \) is
(A) \( -\frac{4 \sqrt{2}}{3}t\frac{5 \sqrt{2}}{6} \)
(B) \( 0\mathrm{t}\frac{5 \sqrt{2}}{6} \)
(C) \( -\frac{4 \sqrt{2}}{5}t0 \)
(D) \( -\frac{4 \sqrt{2}}{3}\mathrm{t}\frac{\sqrt{2}}{6} \)
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