The correct answer is: C. Dogra dynasty.
The Dogra dynasty was a Hindu Rajput dynasty that ruled over the princely state of Jammu and Kashmir from 1846 to 1947. The dynasty was founded by Raja Gulab Singh, who was granted the state of Jammu and Kashmir by the British East India Company in 1846 after the First Anglo-Sikh War. The Dogra dynasty ruled over Ladakh from 1839 onwards, when it was conquered by the Dogra army. The Dogra rulers were known for their military prowess and their strong administration. They built a number of forts and temples in Ladakh, and they also promoted trade and commerce. The Dogra dynasty was overthrown in 1947, when the princely state of Jammu and Kashmir acceded to India.
The other options are incorrect.
- The Namgyal dynasty was a Buddhist dynasty that ruled over Ladakh from the 14th century to the 18th century.
- The Sikh dynasty was a Sikh dynasty that ruled over the Punjab region of India from the 18th century to the 19th century.
- The Lha-Chen dynasty was a Buddhist dynasty that ruled over Ladakh from the 10th century to the 14th century.