Can a standard indifference curve have a left-hand tail as depicted by curve I in the figure below?

/in /by

Can a standard indifference curve have a left-hand tail as depicted by curve I in the figure below? Why? Can a standard indifference curve have a right-hand tail as depicted by curve I in the figure below? Why? What is the relationship between points A and B on indifference curve II as depicted below? Why?

 
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