Is cetus on the ecliptic

No Cetus is not on the ecliptic.

There are only 13 constellations on the ecliptic.

1. Aries
2. Taurus
3. Gemini
4. Cancer
5. Leo
6. Virgo
7. Libra
8. Scorpio
9. Sagittarius
10. Capricorn
11. Aquarius
12. Pisces
13. Ophiuchus.