Karma and Rebirth: In Jain philosophy, karma is considered as the main factor that shapes birth and rebirth of all living beings. The actions and deeds of every being determine their future lives.
Freedom Through Asceticism and Penance: Jains believe that liberation from the cycle of birth and rebirth can be achieved through asceticism and penance which is one of the most important methods in Jainism. This reflects their focus on self-discipline.
Renunciation of the World: To achieve freedom, one has to renounce the world, which means detachment from material possessions and earthly desires.
Monastic Life: Monastic existence is seen as a necessary condition for salvation, thus emphasizing a spiritual path over worldly life. This is the most important aspect of Jainism.
Animated World: Jaina philosophy believes that the whole world is animated, even rocks, stones and water.
Non-Injury to Living Beings: Non-injury to all living beings (ahimsa) is central to Jain philosophy. The focus was on ensuring that one does not harm or hurt any living being.
Renouncing the World: Renouncing the world is very crucial to their philosophy.
Five Vows: Jaina monks and nuns are required to take five vows: to abstain from killing, stealing, lying, observing celibacy, and from possessing property, which also reflects the value placed on asceticism.
Other Relevant Point: Any other valid point from the chapter.
On the same political outline map of India, two places related with the centres of revolt of 1857 one marked as A and B. Identify them and write their names on the lines marked near them.
(A) Delhi
(B) Calcutta
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 \(P,O,Q\).