Write your answers in the blanks provided. Use the words from the chapter to complete the sentences.
1. The variety of plants and animals around us is part of __________.
2. Grouping organisms involves considering their __________ and differences.
Siblings hold a unique place in our lives—they’re our partners in mischief, our first friends, and often our lifelong supporters. Around the world, different cultures celebrate these bonds in their own ways. Two such celebrations are Siblings Day, observed in the US, Canada, and parts of Europe, and Raksha Bandhan, a centuries-old Hindu festival in India. Let’s explore these holidays and what makes them special.
The poet looks at an old photograph of her mother as a child, enjoying a seaside holiday with her two cousins. The picture shows them standing in the shallow water, their feet temporarily against the everlasting sea. This contrast reminds the poet how short human life is compared to nature, which changes very slowly. The poem also shows us the poet’s mother’s happy and exciting childhood. At twelve years old, she spent her holidays by the sea, playing in the water with her cousins. She wore pretty, colourful dresses that matched the fun beach atmosphere.
What is the Collatz Conjecture?
Have you ever played with numbers and discovered an intriguing pattern? The Collatz Conjecture (also known as the 3n + 1 problem) is a renowned unsolved mathematical puzzle that even the brightest mathematicians have yet to solve!
Q1. Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.
(i) {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}
(ii) {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}
(iii) {(1,3), (1,5), (2,5)}.
World Poetry Day, celebrated each year on 21st March, is a special occasion dedicated to the art of poetry. Established by UNESCO (the United Nations Educational, Scientific and Cultural Organisation) in 1999, this day aims to promote linguistic diversity, support endangered languages, and encourage appreciation for the beauty of poetry. The date was chosen to coincide with the beginning of spring in the Northern Hemisphere, symbolising renewal, creativity, and growth. Since its inception, World Poetry Day has evolved into a global celebration, uniting poets, readers, and educators to honour the timeless power of poetic expression.
वसंत विषुव, जिसे अंग्रेजी में Spring Equinox कहा जाता है, वह खगोलीय घटना है जब दिन और रात की अवधि लगभग समान होती है। यह घटना हर साल 20 या 21 मार्च को होती है और वसंत ऋतु की शुरुआत का संकेत देती है।
वसंत विषुव का वैज्ञानिक और सांस्कृतिक दोनों ही दृष्टि से महत्वपूर्ण स्थान है। इस दिन सूर्य विषुवत रेखा (Equator) पर सीधा चमकता है, जिससे पृथ्वी के दोनों गोलार्द्धों में दिन और रात बराबर होते हैं। यह समय प्रकृति में बदलाव का प्रतीक है—ठंडी सर्दियाँ समाप्त होती हैं और पृथ्वी नई ऊर्जा से भर जाती है। पेड़-पौधे हरे-भरे होते हैं, फूल खिलते हैं और मौसम खुशहाल हो जाता है।
Notice these expressions in the text. Infer their meaning from the context.
● the thought was almost revolting
● an expanse of pure white serenity
● a turning-point
● accepted her seclusion with resignation
● a veritable bedlam of chirrupings
● frivolous rebukes
● the sagging skins of the dilapidated drum
Q1. Let A = {1, 2, 3,...,14}. Define a relation R from A to A by R = {(x, y): 3x – y = 0, where x, y ∈ A}. Write down its domain, codomain and range.
