We can overcome the anxieties and insecurities bred by our inevitable existence in the modern world by getting involved in some practical and beneficial activities. Cultivating hobbies, spending time with family and friends, going on trips and excursions, pursuing meditation and exercises help us live a balanced and healthy life. Reading good books is equivalent to having good friends with great insight. They not only enrich us with the vast store of knowledge but also help us to learn from other’s experience and stay rooted to some basic qualities of humanity. Joining hobby classes or gym, attending social events like birthdays and weddings, going for outdoor games, interacting meaningfully through socialnetworking sites and writing diaries etc can also help us relieve our worries and stay focussed and disciplined in life. Simple activities like listening to music, playing with pets, an occasional dinner out, watching cinema or plays or going to places like parks etc can go a long way in helping us get rid of stress, boredom and insecurities.
Why does Charley say, “He (Sam) certainly can’t go back to his old business”? (The Third Level)
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 \(P,O,Q\).