Mahatma Gandhi, known as the "Father of the Nation," played a pivotal role in India’s freedom struggle and social reform. His leadership combined political strategies with moral and ethical principles, transforming the Indian independence movement.
Political Role:
1. Satyagraha and Nonviolence: Gandhi advocated nonviolent resistance (Satyagraha) against British rule, launching movements like the Champaran Satyagraha (1917) and Kheda Satyagraha (1918).
2. Mass Movements: He led nationwide campaigns like the Non-Cooperation Movement (1920), Civil Disobedience Movement (1930), and Quit India Movement (1942), mobilizing millions.
3. Constructive Programs: Gandhi emphasized self-reliance through initiatives like khadi production, rural upliftment, and education reforms to strengthen India’s socio-economic fabric.
4. Leadership Style: Gandhi united people across caste, religion, and region, making the independence movement inclusive and mass-based.
Social Reforms:
1. Caste and Untouchability: Gandhi campaigned against untouchability, referring to Dalits as "Harijans" (children of God). He worked to integrate marginalized communities into mainstream society.
2. Women’s Empowerment: Gandhi encouraged women’s participation in the freedom struggle, breaking traditional gender norms.
3. Communal Harmony: He promoted unity between Hindus and Muslims, emphasizing tolerance and understanding.
4. Simple Living: Gandhi’s philosophy of simplicity and self-discipline inspired people to adopt a lifestyle aligned with ethical and moral values.
Legacy:
Gandhi’s ideas of nonviolence, truth, and self-reliance left a lasting impact on global leaders and movements. His vision for a free and equitable India continues to inspire social and political reforms worldwide.
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 \(P,O,Q\).