| List-I | List-II |
|---|---|
| a. Tisra Jati Triputa Tala | i. Bhairavi |
| b. Atita Graha | ii. 7 Aksharas |
| c. Dwaram Venkataswamy Naidu | iii. Eduppu |
| d. Bhashanga raga | iv. Violin |
To determine the correct matching between List-I and List-II, we have the correct option as:
a-ii, b-iii, c-iv, d-i.
Let's explore the given lists in the context of Carnatic music melodic instruments:
This matching helps in understanding the association between various Carnatic music instruments and their corresponding elements or characteristics in List-II.
| 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 \(P,O,Q\).