Question

According to Kepler's second law, the radius vector to a
planet from the sun sweeps out equal areas in equal intervals
of time. This law is a consequence of the conservation of
.................

Answer 1

$\frac{dA}{dt}=\frac{L}{2m}=$constant, because angular momentum of planet
(.L) about the centre of sun is constant.
Thus, this law comes from law of conservation of angular momentum.