The direction ratios of the line \(\frac{1-x}{3}=\frac{7y-14}{2}=\frac{z-3}{2}\)are
Answer & explanation
Correct answer: option 4
\(=\frac{1-x}{3}=\frac{7y-14}{2}=\frac{z-3}{2}\)
\(\frac{-(x+1}{3}=\frac{(y-2)}{2}=\frac{z-3}{2}⇒\frac{z-1}{-3}=\frac{y-2}{\frac{2}{7}}=\frac{z-3}{2}\)
Direction ratio are
x = -3
y = $\frac{2}{7}$
z = 2
So direction ratios are = (-3, $\frac{2}{7}$, 2) or $\frac{-3×7,2,2×7}{7}$
$=\frac{-21,2,14}{7}=(-21,2,14)$ taking same L.C.M
So option 4 is correct.