Ballistic transport occurs whenever electrons propagate without collisions deflecting their trajectory. It is normally observed in conductors with a negligible concentration of impurities, at low temperature, to avoid electron-phonon scattering. Here, we use suspended bilayer graphene devices to reveal a new regime, in which ballistic transport is not limited by scattering with phonons or impurities, but by electron-hole collisions. The phenomenon manifests itself in a negative four-terminal resistance that becomes visible when the density of holes (electrons) is suppressed by gate-shifting the Fermi level in the conduction (valence) band, above the thermal energy. For smaller densities transport is diffusive, and the measured conductivity is reproduced quantitatively, with no fitting parameters, by including electron-hole scattering as the only process causing velocity relaxation. Experiments on a trilayer device show that the phenomenon is robust and that transport at charge neutrality is governed by the same physics. Our results provide a textbook illustration of a transport regime that had not been observed previously and clarify the nature of conduction through charge-neutral graphene under conditions in which carrier density inhomogeneity is immaterial. They also demonstrate that transport can be limited by a fully electronic mechanism, originating from the same microscopic processes that govern the physics of Dirac-like plasmas.Ever since Sharvin's pioneering work 1 , the occurrence of ballistic transport in metallic conductors has been exploited to investigate the electronic properties of solids. In the quasi-classical regime, for instance, magnetic focusing experiments have allowed probing electron-dynamics and the shape of the Fermi surface in ultra-pure crystals of different metals 2 , in semiconducting heterostructures 3,4 , and -more recently-in graphene-based systems 5,6 . In the quantum regime, when the electron wavelength and the conductor size are comparable, ballistic motion normally leads to conductance quantization and allows probing transport through individual quantum channels 7,8 . In all cases, the observation of ballistic transport requires the elastic mean free path determined by collisions of electrons with impurities to be longer than the system size, and the rate of inelastic processes such as phonon scattering to be sufficiently small. Electron-electron collisions are less detrimental, as they only slowly de-collimate a focused beam of ballistic electrons influencing their trajectories gradually, with effects that usually become relevant at rather high temperature 6,9 .