Question

why indifference curve convex to the origin

Answer 1

H!!!!!☺☺
________________________________________________________________________

In most cases, indifference curves (IC) are convex to the origin because of the diminishing marginal rate of substitution property that holds.

Indifference curve shows combination of goods to which a consumer is indifferent between implying consumer gets same utility/ satisfaction from any bundle on that IC.

Talking about goods which gives us positive utility, ICs need to be downward sloping, that is we have to forego some quantity of one to have an additional unit of another to remain at the same utility level. But this rate at which consumer substitutes one good for another falls as we move along the IC.

As we can see in the above diagram, the amount of Y that the consumer can forego decrease more and more as we keep substituting it for additional units of X. This behavior refers to as the law of diminishing marginal rate of substitution in consumer theory. Convex preferences basically corresponds to the idea that averages are preferred to extremes and the pattern that MRS displays as we substitute one good for another makes it intuitively logical to expect that ICs are convex to the origin.
________________________________________________________________________
HOPE IT MAY HELP YOU ☺ AND KEEP SMILING☺☺