Others Maths Puzzle

a good question:
a^2 + 11b^2 + 2c^2 = 2b(3a+2c) then which of the following statements are true?
A. a=3c
b. a=2b
c. b=2a

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Others Other Question

x^6 + y^2 +z^2 =2011
find x+y+z
Dont remember options, but they were close to 50. (50,51..or so) Max can work for three hours non-stop but then needs to rest for half an hour. His wife can work for two hours but rests
for 15 min after that, while his son can work for 1 hour before resting for half an hour. If a work takes 50 man-hours to get completed,
then approximately how long will it take for the three to complete the same? Assume all of them all equally skilled in their work.
(a) 15 (b) 17 (c) 20 (d) 24