Indifference curve shows different combinations of two goods
that can give an individual equal amount of satisfaction. Each
point on the curve shows that the customer is indifferent between
the goods he chose and is satisfied.
No, the indifferent curves cannot cross. This is because, the
higher indifference curve gives the customers higher
satisfaction.
Utility and indifference curve is used to derive the law of
diminishing marginal utility. The law states that the marginal
utility of a commodity will decrease if an addition unit of that
commodity is consumed. That is why the indifference curve is
generally convex to the origin.