Concept:
The Ashtanayika classification in Indian aesthetics describes eight types of heroines according to their emotional state and relationship with the beloved. Each Nayika represents a distinct psychological and dramatic situation.
Step 1: Match Vasakasajjita.
\[
\text{Vasakasajjita}
\]
refers to:
\[
\text{One dressed up for union with her beloved}
\]
Thus:
\[
A \rightarrow IV
\]
Step 2: Match Abhisarika.
\[
\text{Abhisarika}
\]
is the heroine:
\[
\text{Who boldly goes out to meet her beloved}
\]
Thus:
\[
B \rightarrow III
\]
Step 3: Match Virahotkanthita.
\[
\text{Virahotkanthita}
\]
means:
\[
\text{One distressed or tormented due to separation}
\]
Thus:
\[
C \rightarrow II
\]
Step 4: Match Kalahantarita.
\[
\text{Kalahantarita}
\]
refers to:
\[
\text{One separated from her beloved because of quarrel}
\]
Thus:
\[
D \rightarrow I
\]
Step 5: Write the final matching sequence.
The correct matching is:
\[
A\text{-}IV,\ B\text{-}III,\ C\text{-}II,\ D\text{-}I
\]
Step 6: Compare with the given options.
Among the given choices:
\[
(A)\ A\text{-}I,\ B\text{-}III,\ C\text{-}IV,\ D\text{-}II
\]
\[
(B)\ A\text{-}IV,\ B\text{-}III,\ C\text{-}II,\ D\text{-}I
\]
\[
(C)\ A\text{-}III,\ B\text{-}I,\ C\text{-}II,\ D\text{-}IV
\]
\[
(D)\ A\text{-}II,\ B\text{-}IV,\ C\text{-}III,\ D\text{-}I
\]
the correct answer is:
\[
\boxed{A\text{-}IV,\ B\text{-}III,\ C\text{-}II,\ D\text{-}I}
\]
Hence:
\[
\boxed{\mathrm{(B)}}
\]