Al-Biruni, a Persian scholar who visited India in the 11th century, made important observations on the social and cultural conditions of India, particularly in his work Kitab-ul-Hind.
- Comparison of Caste System: Al-Biruni noted that the caste system in India was a unique social structure, one that was more rigid and deeply entrenched compared to the social divisions in other societies. In India, the caste system determined not just social status but also one's occupation, marriage prospects, and interactions with others. This, according to Al-Biruni, was unlike other societies, such as in Persia or the Islamic world, where social divisions were less strictly defined by birth.
- Features of Kitab-ul-Hind:
Al-Biruni's Kitab-ul-Hind provides a detailed account of Indian culture, religion, and society, and includes the following chief features:
1. Religion: A comprehensive description of Hinduism, its philosophies, practices, and deities, as well as discussions on Buddhism and Jainism.
2. Social Structure: Insights into the rigid caste system, which he considered to be highly distinctive of Indian society.
3. Science and Mathematics: Al-Biruni also praised India's advanced knowledge in fields such as mathematics, astronomy, and medicine, providing detailed accounts of Indian scientific knowledge.
4. Cultural Practices: Detailed descriptions of Indian customs, traditions, and daily life, including food habits, clothing, and marriage.
In conclusion, Al-Biruni's Kitab-ul-Hind is one of the most important works for understanding early medieval India through the eyes of an outsider.
Fill in the blank with the suitable option given below:
The Revolt of 1857 marked the end of the ___________ dynasty in India.
Identify the ruler from Indian history with the following information:
- Ruler of Bhopal
- Ruled from 1868 to 1901 CE
- Helped in preserving the Sanchi Stupa
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).