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

If the plane 2x - y + 2z + 3 = 0 has the distances 1/3 and… — JEE Main 2019 Mathematics PYQ

JEE Main 2019 · 10 April · Shift II

If the plane

2x - y + 2z + 3 = 0

has the distances

\frac{1}{3}

and

\frac{2}{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

Show answer

Correct option: A

[JEE Main 2019 · 10 April · Shift II]

Practise Three Dimensional Geometry the way it is asked

A timed set of real JEE Main Three Dimensional Geometry questions, graded as the exam grades. No sign-up.