  This paper reports Giant Metrewave Radio Telescope (GMRT) observations of the
binary system HD 41004 that are among the deepest images ever obtained at
150~MHz and 400 MHz in the search for radio emission from exoplanets. The HD
41004 binary system consists of a K1 V primary star and an M2 V secondary; both
stars are host to a massive planet or brown dwarf. Analogous to planets in our
solar system that emit at radio wavelengths due to their strong magnetic
fields, one or both of the planet or brown dwarf in the HD 41004 binary system
are also thought to be sources of radio emission. Various models predict
HD~41004Bb to have one of the largest expected flux densities at 150 MHz. The
observations at 150 MHz cover almost the entire orbital period of HD 41004Bb,
and about $20\%$ of the orbit is covered at 400 MHz. We do not detect radio
emission, setting 3$\sigma$ limits of 1.8 mJy at 150 MHz and 0.12 mJy at 400
MHz. We also discuss some of the possible reasons why no radio emission was
detected from the HD 41004 binary system.
