The correct answer is A. 1819 – 1846 AD.
The Sikh Empire was a 19th-century Indian empire founded by Guru Gobind Singh. It was ruled by the Sikh misls, a confederacy of 12 Sikh warrior bands. The empire reached its peak under Maharaja Ranjit Singh, who ruled from 1799 to 1839.
The Sikh Empire conquered Kashmir in 1819. The Sikh rule in Kashmir was marked by religious tolerance and economic prosperity. However, the empire began to decline after the death of Ranjit Singh in 1839. In 1846, the Sikh Empire was defeated by the British in the First Anglo-Sikh War. Kashmir was then annexed by the British East India Company.
Option B is incorrect because the Sikh rule in Kashmir did not last from 1840 to 1860 AD. The Sikh Empire was founded in 1799 and conquered Kashmir in 1819. The empire began to decline after the death of Ranjit Singh in 1839. In 1846, the Sikh Empire was defeated by the British in the First Anglo-Sikh War. Kashmir was then annexed by the British East India Company.
Option C is incorrect because the Sikh rule in Kashmir did not last from 1890 to 1900 AD. The Sikh Empire was founded in 1799 and conquered Kashmir in 1819. The empire began to decline after the death of Ranjit Singh in 1839. In 1846, the Sikh Empire was defeated by the British in the First Anglo-Sikh War. Kashmir was then annexed by the British East India Company.
Option D is incorrect because the Sikh rule in Kashmir did not last from 1902 to 1930 AD. The Sikh Empire was founded in 1799 and conquered Kashmir in 1819. The empire began to decline after the death of Ranjit Singh in 1839. In 1846, the Sikh Empire was defeated by the British in the First Anglo-Sikh War. Kashmir was then annexed by the British East India Company.