An indifference curve illustrates a mixture of two goods that offer equivalent consumer fulfilment and convenience, making the user unresponsive. Usually, a typical indifference curve analysis works on a simple two-dimensional chart, with each axis representing one variety of a good. Therefore, the reason as to why indifference curve of a rational consumer cannot be parallel to the x-axis and y-axis is because along the curve the buyer has the same preference for either mixture of goods since both goods offer the equal level of utility to the buyer.
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