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.