Concept: Hückel's Rule defines aromaticity: cyclic, planar, conjugated systems with $(4n+2)\pi$ electrons are aromatic, while those with $4n\pi$ electrons are anti-aromatic.
Step 1: {Pyridine.}
Pyridine is a six-membered heterocyclic ring with three double bonds.
It has $6\pi$ electrons ($n=1$), is planar, and cyclic.
It satisfies the $(4n+2)$ rule and is aromatic.
Step 2: {Planar Cyclooctatetraene (COT).}
COT is an eight-membered ring with four double bonds.
The question explicitly states it is "planar."
It has $8\pi$ electrons.
Step 3: {Apply Hückel's Rule to COT.}
Since 8 is a multiple of 4 ($4n$ where $n=2$), a planar, cyclic, conjugated 8-electron system is anti-aromatic.
(Note: Real COT is non-aromatic because it adopts a non-planar tub shape, but the "planar" constraint makes it anti-aromatic).