In Matthew 25, starting in verse 34 the passage reads.
“Then the King will say to those on His right, ‘Come, you who are blessed of My Father, inherit the kingdom prepared for you from the foundation of the world. For I was hungry, and you gave Me something to eat; I was thirsty, and you gave Me something to drink; I was a stranger, and you invited Me in; naked, and you clothed Me; I was sick, and you visited Me; I was in prison, and you came to Me.’ Then the righteous will answer Him, ‘Lord, when did we see You hungry, and feed You, or thirsty, and give You something to drink? And when did we see You a stranger, and invite You in, or naked, and clothe You? When did we see You sick, or in prison, and come to You?’ The King will answer and say to them, ‘Truly I say to you, to the extent that you did it to one of these brothers of Mine, even the least of them, you did it to Me.’
“Then He will also say to those on His left, ‘Depart from Me, accursed ones, into the eternal fire which has been prepared for the devil and his angels; for I was hungry, and you gave Me nothing to eat; I was thirsty, and you gave Me nothing to drink; I was a stranger, and you did not invite Me in; naked, and you did not clothe Me; sick, and in prison, and you did not visit Me.’ Then they themselves also will answer, ‘Lord, when did we see You hungry, or thirsty, or a stranger, or naked, or sick, or in prison, and did not take care of You?’ Then He will answer them, ‘Truly I say to you, to the extent that you did not do it to one of the least of these, you did not do it to Me.’ These will go away into eternal punishment, but the righteous into eternal life.” - Matthew 25:34-46 (NASB)
Why are the people receiving favor from the King positioned on His right, and the people being told to depart from the King positioned on His left? My question is not about what makes them righteous or unrighteous, the text is clear on that. I'm solely interested in the delineation of those on His right, and those on his left.