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in Mathematics by (70.8k points)

If three parallel planes are given by

P1 : 2x - y + 2z = 6

P2 : 4x - 2y + 4z = λ

P3 : 2x - y + 2z = μ

If distance between P1 and P2 is 1/3 between P1 and P3 is 2/3, then the maximum value of λ + μ  is 

(1) 22

(2) 20

(3) 18

(4) 24

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