



 
Anjana, The shortest chord through C is perpendicular to the diameter AB. (To prove this claim one needs to know that for any chord PQ through C, the product PC*CQ is constant. One then wants the smallest sum x+y over all x's and y's for which x*y is constant.) Use the Pythagorean theorem to find the length PC. Chris  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 