The painting ‘Nand, Yashoda and Krishna with kinsmen going to Vrindavan’ is a significant work from the Pahari School of miniature painting, specifically the Kangra sub-school. It captures a beautiful episode from Krishna’s childhood, emphasizing familial love, community, and the spiritual undertone of his journey to Vrindavan.
Title: Nand, Yashoda and Krishna with kinsmen going to Vrindavan
School: Pahari School – Kangra Sub-school
Medium: Tempera on handmade paper
Compositional Arrangement and Features:
Symbolic and Emotional Significance:
The painting beautifully evokes a mood of affectionate departure and divine journey. It reflects the emotional bond shared between Krishna and his foster family and their simple, loving village life. It also spiritually hints at Krishna's greater journey toward his divine destiny.
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 \(P,O,Q\).