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

3d Geometry

JEE Main 2019 · 10 Apr, Evening shift · Q2562

MathematicsMedium249×since 2002Q2562

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 :