Preparation of Green Chilli Pickle
• Ingredients:
– Green chillies- 1 kg, salt- 150 gm
– mustard (ground)- 100 gm
– lime juice- 200 ml (or) amchur- 200 gm
– fenugreek, cardamom (large), turmeric, cumin (powdered)- 15 gm each
– mustard oil- 400 ml
• The flow of the process is as follows:
– Wash green chillies.
– Dry them completely.
– Makean incision in the green chillies.
– Mixall the spices in a little lime juice.
– Mixthe chillies with spice and lime juice mixture.
– Fill the mixture into a jar.
– Addlime juice and oil to the mixture in the jar.
– Keep the pickle in the sun for a week to mature.
– Store it in a cool, dry place away from sun
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 \(P,O,Q\).