If an angle between the line, (x + 1)/2 = (y - 2)/1 = (z - 3)/(- 2) and the plane, x - 2y - kz = 3 is cos ⁻¹((2 2)/3), then a value of k is:

Three Dimensional Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Jan, Evening shift · Q2413

JEE Main 201912 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If an angle between the line,

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

and the plane,

x - 2y - kz = 3

{\cos ^{ - 1}}\left( {{{2\sqrt 2 } \over 3}} \right),

then a value of k is :

JEE Main 2019 · 12 Jan, Evening shift · Q2413

JEE Main 201912 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If an angle between the line,

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

and the plane,

x - 2y - kz = 3

{\cos ^{ - 1}}\left( {{{2\sqrt 2 } \over 3}} \right),

then a value of k is :