If the angle between the line x = (y - 1)/2 = (z - 3)/(λ) and the plane x+2y+3z=4 is cos ⁻¹(√(5/14)), then λ equals:

Three Dimensional Geometry: JEE Main 2011 Mathematics question

JEE Main 2011 · Annual, Paper 1 · Q2392

JEE Main 2011Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

If the angle between the line

x = {{y - 1} \over 2} = {{z - 3} \over \lambda }

and the plane

x+2y+3z=4

{\cos ^{ - 1}}\left( {\sqrt {{5 \over {14}}} } \right),

then

\lambda

equals :

JEE Main 2011 · Annual, Paper 1 · Q2392

JEE Main 2011Annual, Paper 1MathematicsMediumThree Dimensional Geometry249× since 2002

If the angle between the line

x = {{y - 1} \over 2} = {{z - 3} \over \lambda }

and the plane

x+2y+3z=4

{\cos ^{ - 1}}\left( {\sqrt {{5 \over {14}}} } \right),

then

\lambda

equals :