I have generated a random point named y0=(a,b) in xy-plane , How can I generated another random point (x,y) 10 steps apart from y0?

I have generated a random point named y0=(a,b) in xy-plane , How can I generated another random point (x,y) 10 steps apart from y0?

my attempt( sometime gives wrong result).

import random
y0=(random.randint(0,50),random.randint(0,50))# here I generated the first point.
y=random.randint(0,50)

# I used the formula  |x-a|+|y-b|=10.
x=(10 -abs(y-y0[1]))+y0[0]  or x=-(10 -abs(y-y0[1]))+y0[0]

x0=(x,y)