Explain the decorative \(\textit{anga}\ \textit{Chittaswara}.\)
\(\textit{Chittaswara}\) is a decorative element in Carnatic music compositions where sequences of swaras (musical notes) are sung without lyrics. These swara passages embellish the main composition and provide melodic variation and interest. Key features of Chittaswara:
Swaras Without Lyrics: Unlike the main lyrical sections, Chittaswaras are purely melodic notes without sahitya (words).
Placement: They are typically inserted between the sections of a kriti (such as between the pallavi and anupallavi or between anupallavi and charanam).
Purpose: Chittaswaras enhance the aesthetic appeal and allow performers to showcase their understanding of the raga’s melodic possibilities.
Rhythmic Alignment: These swara patterns are composed carefully to fit the tala cycle perfectly.
Improvisation Potential: Sometimes artists improvise the Chittaswaras during concerts, adding spontaneity and creativity.
Chittaswaras enrich the composition by balancing lyrics and melody, adding texture and excitement to performances.
| List – I (Tala) | List – II (Anga) |
|---|---|
| a. Jhampa Tala | ii. 7 1 2 (| ∩ 0) |
| b. Ata Tala | i. 5 5 2 2 (| | 0 0) |
| c. Rupaka Tala | iv. 2 4 (0 |) |
| d. Triputa Tala | iii. 3 2 2 (| 0 0) |
Choose the correct option:
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 \(P,O,Q\).