Which region of Himachal Pradesh came under the direct control fo British after the first Anglo Sikh War?

The correct answer is: Areas between Sutlej and Ravi.

The first Anglo-Sikh War was fought between the British East India Company and the Sikh Empire from December 1845 to February 1846. The war was fought over the control of the Punjab region, which was then ruled by the Sikh Empire. The British were victorious in the war and the Treaty of Lahore was signed on 9 March 1846. The treaty resulted in the British annexing the territories between the Sutlej and Ravi rivers, which included the present-day state of Himachal Pradesh.

The other options are incorrect because:

• Option B, Northern areas of Tibet, is incorrect because Tibet was never under the control of the British.
• Option C, Areas around Pabbar river, is incorrect because the Pabbar river is located in the Kumaon region of Uttarakhand, which was not part of the Sikh Empire.
• Option D, Lower foothills of Siwaliks, is incorrect because the Siwaliks are a mountain range that runs along the northern border of India, and the British did not annex any territory in this region after the first Anglo-Sikh War.