  Surprisingly, the relict cosmological constant has a crucial influence on
properties of accretion discs orbiting black holes in quasars and active
galactic nuclei. We show it by considering basic properties of both the
geometrically thin and thick accretion discs in the Kerr-de Sitter black-hole
(naked-singularity) spacetimes. Both thin and thick discs must have an outer
edge allowing outflow of matter into the outer space, located nearby the so
called static radius, where the gravitational attraction of a black hole is
balanced by the cosmological repulsion. Jets produced by thick discs can be
significantly collimated after crossing the static radius. Extension of discs
in quasars is comparable with extension of the associated galaxies, indicating
a possibility that the relict cosmological constant puts an upper limit on
extension of galaxies.
