# Perfect complements indifference curve

What would be the I.C of this function? $$u(x,y)=\min(x,√y)$$

I understand since it is a perfect complements case it should be "L" shaped but I wanted a more detailed graph.

For perfect complements like $$u(x,y) = \min( g(x_1), h(x_2))$$ the points at which kinks occur are such that $$g(x_1)= h(x_2)$$. In this case that would be $$x= \sqrt(y)$$ so in this case indifference curves would look like:
The picture above plots two indifference curves and the dashed line gives you all kinks of every indifference curve. Normally the kinks would lie on $$45^°$$ line because usually complements are given by functions where respective slopes of $$x$$ and $$y$$ are linear (e.g. $$\min (\alpha x, \beta y ))$$ but here you have case where you have $$\sqrt(y)$$, so the $$x$$ has to be consumed with exponentially increasing quantities $$y$$.