# What would the indifference curve of min{√x,y} looks like?

The locus of kinks would follow x=y^2 but what would the arms look like?

• Consider $\min \{\sqrt{x},y\}=k$ for various values of $k$. – user18 Sep 9 '19 at 5:09
• What have you tried to figure this out? – Giskard Sep 9 '19 at 8:04
• @Giskard I started with finding out the locus of the kinks by taking √x = y. Then I took y=k and √x = k to find the arms of the IC but I was confused about the √x = k arm. I thought that it will be a non - linear arm but the answer below by Amit clarifies the confusion – Kautilya Sep 9 '19 at 18:42