Ketu in 10th house in Astrology is not a good position as it makes a person very dependable on others, gives them lack of energy to follow through their career, or native with this Ketu might just want to sit home and do nothing.
The 10th House shows your image in the outer world, as a place of work and community, as it’s opposite to the 4th house which is home, your
private life. It rules career too, but only holds 30% of the truth about your career. In Greek astrology, they give a major emphasis on the 10th house and its lord or the planet sitting in the 10th house to determine your career, but this is not true, why you ask? Because Greek only relies on 1 chart, your basic birth chart, and, sometimes eastern astrologer, too, relies on the same chart.
But, there is a bigger depth to this house. In Eastern astrology, there are many (Divisional) charts that show adetailed analysis of a person's life, which can be career, marriage, children, health, travel, etc… The divisional chart that rules the career is called (D-10 chart) or Dashamsa chart in Eastern astrology. (We’ll talk about it later) But the career is also seen from 2nd, 6th, and 7th house, too. 7th house is 10th from the 10th house, which becomes the career of your career house.
The tenth house represents the working years, the time of life one is fully productive and career-oriented. The 10th house represents the source of livelihood, the everyday work we do. It is the most active house and is generally connected with the way we do things and the way the outside world labels us. The 10th house corresponds to the 2nd part of the legs, the knees. Capricorn corresponds to the 10th house. Saturn, its ruler, signifies routine work, and the movable property adds to the active nature of the 10th. The element of Earth ties the 10th house down to mostly physical and materialistic matters.
Ketu in Astrology is also an unsteady and sometimes treacherous force. Still, its qualities are more of an abstract, inward nature, in contrast to Rahu, who is more concerned with outward, worldly matters. Ketu can bring hindrance and obstacles in the physical realm of life but indicates sparks of intelligence and brilliance of the mind. The above significations are extremely important to know by heart. You should memorize them and use them often to remind yourself of the essential nature of the Grahas.
Note: The degree of auspiciousness and inauspiciousness will depend upon a complete analysis of the horoscope (birth-chart).