Explain the role of G.B. Pant on the united approach of India.
Govind Ballabh Pant (G.B. Pant) was one of the foremost leaders of the Indian independence movement and played a key role in the post-independence period, particularly in the integration and unification of India.
1. Advocacy for National Integration:
G.B. Pant believed in the unity and integrity of India, especially after independence when the country was facing issues related to communalism, regionalism, and linguistic diversity. He played a significant role in advocating for a united India, where the strength of unity would be paramount to progress and development.
2. Contribution as a Leader of U.P.:
Pant served as the Chief Minister of Uttar Pradesh, where he worked towards bridging the gap between different communities. He was instrumental in promoting social and economic reforms that aimed at uplifting the masses, irrespective of their caste, religion, or ethnicity. He encouraged a spirit of unity and cooperation among various groups in the state.
3. Efforts in Consolidating the Indian States:
After the partition of India in 1947, there were several princely states that had not yet joined the Indian Union. G.B. Pant played a crucial role in the integration of these states. His efforts in supporting the central government's initiatives ensured that these states were brought under the fold of the Indian Union.
4. Support for the Hindi Language:
Pant also promoted the use of Hindi as a unifying language across the country. While acknowledging the linguistic diversity of India, he worked to ensure that Hindi would be a medium of communication for all Indians, fostering a sense of common identity.
5. Role in Education and Social Welfare:
Pant promoted educational and social reforms that were aimed at fostering national integration. He believed in education as a means to build national consciousness and unity. His policies supported the establishment of institutions and infrastructure that helped unify the people of India.
Conclusion:
G.B. Pant’s role in the united approach of India was multifaceted. He not only worked towards fostering national integration during his tenure but also contributed significantly to shaping the political and social landscape of post-independence India. His leadership played an important role in consolidating India's unity despite its complex socio-political fabric.
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 \(P,O,Q\).