Problem: Find the minimum value of x2+y2​ if 5x+12y=60:
Answer Choices:
A. 1360​
B. 513​
C. 1213​
D. 1
E. 0
Solution:
The minimum value of x2+y2​ is given by the perpendicular OC from O to the line 5x+12y=60.
From similar triangles 5OC​=1312​∴OC=1360​.