Although India gained independence in 1947, Mahatma Gandhi continued to play a vital moral and social role during the final months of his life.
Following Partition, Gandhi dedicated himself to restoring communal harmony in Bengal and Delhi. His fasts and marches calmed tensions and protected minorities.
He remained committed to his principle of Ahimsa (non-violence), condemning the riots and killings that accompanied Partition. His fast unto death in Delhi pressured leaders to act against communalism.
Gandhiji insisted on releasing financial dues to Pakistan as per the Partition agreement, demonstrating his commitment to justice even for an adversarial nation.
Though he never held political office, his ideals influenced India’s democratic framework, secularism, and the emphasis on non-violence in foreign policy.
After independence, Gandhiji emerged as the conscience of the nation, advocating unity, peace, and moral responsibility. His assassination in 1948 marked the end of an era, but his values continue to shape India.
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 \(P,O,Q\).