The Mahabharata, one of the most important epics of ancient India, provides valuable insights into the social and familial structures of its time, especially those concerning kinship, marriage, and inheritance.
Families were generally patriarchal, with the eldest male acting as the head. Lineage was traced through the male line. The Kuru family, around which the Mahabharata revolves, reflects such a structure.
Inheritance and succession were crucial themes. The epic discusses conflicts over succession (e.g., Pandavas vs. Kauravas) and the legitimacy of heirs (e.g., birth of Karna and Pandavas).
Multiple forms of marriage are described, such as swayamvara, polyandry (Draupadi married to five Pandavas), and levirate marriage (Kunti invoking gods for children). These show both customary norms and flexibility in marital systems.
While society was male-dominated, women like Kunti, Draupadi, and Gandhari had significant roles and influenced political and familial decisions.
The Mahabharata reflects a complex and evolving familial system, with emphasis on kinship obligations, succession, gender roles, and moral responsibilities within families.
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 \(P,O,Q\).