Read the following passage carefully:
(1) A recent survey conducted by an independent research firm sought to measure levels of happiness among youth aged 16–24 years in seven countries. The findings revealed some intriguing insights into what makes today’s youth happiest, as well as which factors influence their overall well-being. In India, an overwhelming majority of the youth reported feeling satisfied with their lives, with 87% rating their overall happiness as ‘high’ or ‘very high.’ Financial security was identified as the primary source of happiness for 66%, followed by family support (89%), having a purpose in life (50%), and work or studies (40%). Unfortunately, 65% reported feeling stress related to academic performance or workload, while 25% reported feeling lonely. These figures point to a need for increased mental health support among India’s youth.
(2) These surveys also revealed that family support is an important source of contentment for young people across countries. In Europe, 59% of respondents said that their families were a major source of happiness; in France this figure was 67%, and 63% in Germany. In North America, 64% rated family as an important factor for well-being in Canada, while 61% did so in the United States. Similarly, 89% of survey respondents in India named family support as a major contributor to their overall contentment level.
(3) It is clear that stress has a significant impact on the happiness of today’s youth. The findings suggest that young people need better resources to manage their mental health and well-being. This may include access to counselling services, mindfulness activities and support groups to help them cope with challenging circumstances. It is also important to provide financial support so as to reduce some of the economic pressures.
(4) In India, 65% of youth surveyed reported feeling anxious about their academic performance or workload, while 25% felt lonely. These figures are especially significant given how important family support is for young people’s overall contentment.
Answer the following question, based on the above passage:
The findings of the survey highlight that financial security and family support are major contributors to happiness, while stress from academics and loneliness negatively impact the mental well-being of Indian youth.The survey reveals that financial security is a significant source of happiness for 66% of Indian youth, while 89% report family support as a major contributor. However, 65% experience stress due to academic workload, and 25% feel lonely.
Read the extract and complete the activities given below:
Family can be classified into two types: joint family and nuclear family. In the joint family along with parents and children other members like grandparents, uncles, aunts, cousins, etc. are included. In such family, socialization of children is quicker. Tasks are shared. Responsibilities are shared.
Establishment of emotional bonds are common leading to mental security. Members learn adjustment. But sometimes there are conflicts and misunderstandings among family members. Children do not get complete attention from their parents.
On the contrary nuclear family consists of parents and their children. So we see flexibility in parental roles. Parents share their responsibilities. Parent child relationships are very intimate. Full attention is paid on children’s personality development. But children lack in making adjustments. Children get too much attention from their parents and so they become demanding and selfish.
Parenting styles do influence children’s behaviour. The best known research on parenting style is Diana Baumrind’s early studies of pre-school children and their parents. She proposed three parenting styles : permissive, authoritarian and authoritative.
Permissive parents are inconsistent in their behaviour. So children of such parents become dependent, immature.
Authoritarian parents are rigid and punitive in nature. Children of such parents become unfriendly, unsocial and uninvolved. Parents provide food and shelter to their children but they neglect them and become emotionally detached. That leads to indifferent, rejecting behaviour on the part of the children.
Authoritative parents encourage independence, they set limits and goals, they are firm in their behaviour. This kind of parenting style makes children self-reliable, independent and develop social skills.
Read the extract and complete the activities given below:
At length Soapy reached one of the avenues to the east where the glitter and turmoil was but faint. He dragged himself toward Madison Square, for the homing instinct survives even when the home is a park bench.
But, on an unusually quiet corner, Soapy came to a standstill. Here was an old church, quaint and rambling and gabled. Through one violet-stained window a soft light glowed, where, no doubt, the organist loitered over the keys, making sure of his mastery of the coming Sabbath Anthem. For there drifted out to Soapy’s ears sweet music that caught and held him transfixed against the convolutions of the iron fence.
The moon was above, full and radiant; vehicles and pedestrians were few; sparrows twittered sleepily in the eaves or a little while the scene might have been a country churchyard. And the anthem that the organist played cemented Soapy to the iron fence, for he had known it well in the days when his life contained such things as mothers and roses and ambitions and friends and immaculate thoughts and collars.
The conjunction of Soapy’s receptive state of mind and the influences about the old church brought a sudden and wonderful change in his soul. He viewed with rising horror the pit into which he had tumbled, the degraded days,
unworthy desires, dead hopes, wrecked faculties and base motives that made up his existence. And also in a moment his heart responded thrillingly to this strange mood. A strong impulse moved him to battle with his desperate fate. He would pull himself out of the mire and would make a man of himself again; he would conquer the evil that had enslaved him. There was time; he was young yet; he would resurrect his old eager ambitions and pursue them without faltering. Those solemn but sweet organ notes had set up a revolution in him. Tomorrow he would go into the roaring downtown district and find work. A fur importer had once offered him a place as driver. He would be somebody in the world. He would .....
Soapy felt a hand laid on his arm. He looked quickly around into the impassive face of a policeman.
“What are you doin’ here?” asked the officer.
“Nothin’,” said Soapy.
“Then come along,” said the policeman.
“Three months on the island,” said the Magistrate in the Police Court the next morning.
“I put the brown paper in my pocket along with the chalks, and possibly other things. I suppose every one must have reflected how primeval and how poetical are the things that one carries in one’s pocket: the pocket-knife, for instance, the type of all human tools, the infant of the sword. Once I planned to write a book of poems entirely about the things in my pocket. But I found it would be too long: and the age of the great epics is past.”
(From G.K. Chesterton’s “A Piece of Chalk”)
Based only on the information provided in the above passage, which one of the following statements is true?
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 \(P,O,Q\).