Kabir, a 15th-century Bhakti saint, spread his teachings through simple yet profound poetry, advocating love, devotion, and inner realization as paths to spiritual enlightenment.
Key Teachings:
1. Unity of God: Kabir emphasized monotheism, rejecting distinctions between Hindu and Muslim practices. He referred to God as Nirguna (formless), accessible to all through devotion and love.
2. Rejection of Rituals: Kabir criticized idolatry, pilgrimage, and caste-based rituals, focusing on inner spirituality rather than external practices.
3. Love and Devotion (Bhakti): He believed that unconditional love and devotion to God could transcend all social and religious barriers, fostering unity and harmony.
4. Inner Realization: Kabir stressed self-introspection and the realization of the divine within oneself. He used metaphors like the "inner light" to convey his message.
5. Critique of Orthodoxy: Kabir questioned religious orthodoxy and hypocrisy, emphasizing that true spirituality lies in purity of heart and actions.
6. Universal Brotherhood: Kabir’s teachings promoted equality, condemning discrimination based on caste, religion, or social status.
Legacy:
Kabir’s teachings are preserved in the "Bijak" and other collections of his verses. His ideology inspired both Hindu and Muslim communities, fostering the synthesis of Bhakti and Sufi traditions. His philosophy continues to influence Indian spiritual thought.
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 \(P,O,Q\).