
To solve the problem, we need to identify the yoga asana depicted in the image.
1. Observing the Posture:
In the given image, the person is lying on their stomach, bending their knees backward, reaching their arms behind to grasp their ankles, and lifting both the upper body and thighs off the floor. This posture creates a bow-like shape.
2. Recognizing the Asana:
This classic posture is known as Dhanurasana, or the Bow Pose. In Sanskrit, “Dhanur” means bow, and “asana” means posture. The body resembles a stretched bow in the final position of this asana.
3. Benefits of Dhanurasana:
- Strengthens the back and abdominal muscles
- Opens up the chest, neck, and shoulders
- Stimulates the organs of the abdomen and neck
- Improves posture and flexibility of the spine
Final Answer:
The asana shown in the image is Dhanurasana (Bow Pose).
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 \(P,O,Q\).