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.
Linear regression is one of the most basic and important tools in Artificial Intelligence (AI) and Machine Learning. It helps us understand relationships between two things and make predictions. It is an example of a rule-based AI model.
RELATIONS AND FUNCTIONS
Q1. If (x/3 + 1, y - 2/3) = (5/3, 1/3), find the values of x and y.
Answer: Since ordered pairs are equal,
∴ x/3 + 1 = 5/3
⇒ x/3 = 5/3 - 1 = 2/3
⇒ x = 2
y - 2/3 = 1/3
y = 1/3 + 2/3
y = 3/3 = 1
Thus, x = 2 and y = 1
Understanding the central measures of tendency—mean, median, and mode—is a key part of learning statistics in Class 10 Mathematics. These measures help us summarise and analyse data by identifying the central or typical value in a dataset. Whether you're calculating the average score of a cricket match, finding the most common number in a list, or determining the middle value in a set of numbers, these concepts are incredibly useful in everyday life. To help you practise and master these ideas, we’ve put together a list of very short answer-based questions. These questions are designed to test your understanding and improve your problem-solving skills quickly and engagingly. Let’s dive in and explore the world of central measures of tendency!
Q1: If the value of each observation in the data is increased by 2, then the median of the new data __________
पदबंध की परिभाषा
जब दो या दो से अधिक पद नियत क्रम तथा निश्चित अर्थ में किसी पद का कार्य करते हैं, तब वे पदबंध कहलाते हैं।पदबंध वाक्य में प्रयुक्त वह शब्द-समूह होता है जो एक इकाई के रूप में कार्य करता है और वाक्य के किसी एक पद (जैसे संज्ञा, सर्वनाम, विशेषण, क्रिया आदि) का कार्य करता है। पदबंध में दो या दो से अधिक शब्द हो सकते हैं, लेकिन वे मिलकर एक ही अर्थ प्रकट करते हैं। पदबंध वाक्य के अर्थ को स्पष्ट और पूर्ण बनाने में महत्वपूर्ण भूमिका निभाते हैं।
"A Psalm of Life" is a poem by Henry Wadsworth Longfellow
In the poem, the poet encourages readers to live life with purpose and optimism. Let’s break it down stanza by stanza:
The SI Unit of
1. Commercial Unit of Electrical Energy
2. Resistance
3. Electrical resistivity
4. Current
About the title "Virtually True"
The phrase "Virtually True" is an example of an oxymoron, a literary device that combines two contradictory or opposite terms to create a paradoxical effect. In this case, "virtually" suggests something that is almost or nearly true, while "true" implies absolute truth. The juxtaposition of these words creates a thought-provoking or ironic effect, often used to highlight complexity or ambiguity in a situation.
by Zai Whitaker
"I am heading back to my forest home,
Circled by rice fields green:"
The cobra dreams of returning to its natural home in the forest, surrounded by lush green rice fields. It yearns for the freedom it once had.
You are Rachita Verma / Ronit Verma, the Girl-captain/ Boy-captain of DAV Public School, Nagpur. Email the Principal of your School requesting permission to organise a cleanliness drive on your school campus. You should include the purpose of the drive and how it will be organised. You may copy the given template to write your email.
Subject: Request to Organise a Cleanliness Drive
Dear Principal,
I'm Ronit Verma, the Boy-captain of DAV Public School, Nagpur. I’m writing to request your permission to organise a cleanliness drive within our school campus.
