Eigenfunction/Eigenvalue question

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Hey all,

So I was watching an MIT OCW video on intro QM and came across this 'clicker' question. (Shows up at 4:45)


Apparently the correct answer is B, but C looks valid to me as well. Could someone explain why C is incorrect?

Thanks
 
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Work it out with pencil and paper carefully, and you'll see that there are only two combinations that work.
 
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Oh wow, I seriously misread the question... Thank you. This thread should be closed probably.
 

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