  R-mode oscillations of rotating neutron stars(NS) are promising candidates
for continuous gravitational wave (GW) observations. In our recent work, we
derived universal relations of the NS parameters, compactness and dimensionless
tidal deformability with the r-mode frequency. In this work, we investigate how
these universal relations can be used to infer various NS intrinsic parameters
following a successful detection of the r-modes. In particular, we show that
for targeted r-mode searches, these universal relations along with the
"I-Love-Q" relation can be used to estimate both the moment of inertia and the
distance of the NS thus breaking the degeneracy of distance measurement for
continuous gravitational wave(CGW) observations. We also discuss that with a
prior knowledge of the distance of the NS from electromagnetic observations,
these universal relations can also be used to constrain the dense matter
equation of state (EOS) inside NS. We quantify the accuracy to which such
measurements can be done using the Fisher information matrix for a broad range
of possible, unknown parameters, for both the a-LIGO and Einstein Telescope
(ET) sensitivities.
