If the plane 2x – y + 2z + 3 = 0 has the distances 1/3 and 2/3 units from the planes 4x – 2y + 4z + λ = 0 and 2x – y + 2z + μ = 0, respectively, then the maximum value of λ + μ is equal to:

Three Dimensional Geometry: JEE Main 2019 Mathematics question

JEE Main 2019 · 10 Apr, Evening shift · Q2562

JEE Main 201910 Apr, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the plane 2x – y + 2z + 3 = 0 has the distances

{1 \over 3}

and

{2 \over 3}

units from the planes 4x – 2y + 4z +

\lambda

= 0 and 2x – y + 2z +

\mu

= 0, respectively, then the maximum value of

\lambda

\mu

is equal to :