Plans of the athletic directors of eastern schools to control carefully television and radio broadcasts of college football games may fall afoul of federal anti-trust statutes.

The Federal Bureau of Investigation announced this weekend that it is making an inquiry into broadcasting and televising of sporting events to find out whether or not existing statutes are being violated.

Last December and earlier this year, the N.C.A.A. met to discuss the possibility of limiting television broadcasts especially because they harm gate receipts.

Robert Hall, director of athletics at Yale, has proposed several plans by which television set owners would pay if they tuned in on football games.

William J. Bingham '16, Director of Athletics, stated last November that uncontrolled telecasting of football games was cutting seriously into gate receipts.

The F.B.I. indicated that its investigation would be directed mainly toward professional sports, but said it would definitely look into college athletics.