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1. Equation क्या होती है? Equation = समीकरण जिस mathematical statement में = होता है और किसी unknown value को find करना होता है। उदाहरण: x + 3 = 7 यहाँ x unknown है। हम दोनों sides से 3 घटाएँ: x = 7 - 3 x = 4 इसलिए solution = 4 । सबसे जरूरी idea Equation में हमारा goal होता है: unknown variable को अकेला करना। 2. Linear Equation — रैखिक समीकरण Linear का मतलब है variable की highest power 1 । Example: 2x + 5 = 13 Step 1: 2x = 13 - 5 2x = 8 Step 2: x = 8/2 x = 4 General form: ax + b = 0 उदाहरण: 3x - 9 = 0 3x = 9 x = 3 3. Quadratic Equation — द्विघात समीकरण अब variable की highest power 2 होती है। x² इसलिए इसे quadratic (द्विघात) कहते हैं। General form: ax² + bx + c = 0 जहाँ a ≠ 0 उदाहरण: x² + 5x + 6 = 0 इसे factorize करें: (x + 2)(x + 3) = 0 अब: x + 2 = 0 → x = -2 या x + 3 = 0 → x = -3 इसलिए इसके दो solutions हैं: x = -2, -3 Quadratic solve करने के मुख्य तरीके: Factorization Quadratic formula Completing the square Graph method Quadratic formula: अगर ax² + bx + c = 0 तो x = (-b ...

Class 7 NCERT Maths - 100 Important Questions Class 7 NCERT Maths 100 Important Questions with Answers 1. Integers 1. Find: (-8) + 15 Answer: 7 2. Find: (-12) - (-7) Answer: -5 3. Find: (-6) × (-9) Answer: 54 4. Find: 72 ÷ (-8) Answer: -9 5. Simplify: (-5) + (-8) + 12 Answer: -1 6. Find: 18 - [(-4) + 7] Answer: 15 7. What is the additive inverse of -17? Answer: 17 8. What is the multiplicative identity? Answer: 1 2. Fractions and Decimals 9. Add: 2/3 + 1/6 Answer: 5/6 10. Subtract: ...

NCERT Class 6 Science textbook ( Curiosity ). Chapter 1: The Wonderful World of Science True / False Q: Science is only about memorizing facts and equations. A: False Q: Asking questions and making observations is an essential part of science. A: True Q: A hypothesis is an explanation that has been proven true beyond any doubt. A: False Q: The scientific method involves step-by-step problem-solving. A: True Q: Science plays no role in our daily household activities like cooking or troubleshooting. A: False Fill in the Blanks Q: The spark that drives scientific exploration is ________. A: curiosity Q: Watching or examining something carefully to learn about it is called ________. A: observation Q: A possible explanation or guess that needs to be tested in science is called a ________. A: hypothesis Q: Nature is often compared to a living ________ where scientific processes happen continuously. A: laboratory Q: A test performed to verify if a hypothesis...

Class 9 Social Science - Half Yearly Exam Quiz NCERT Class 9 Social Science Half Yearly Examination Practice Quiz (100 Questions) Progress: 0 /100 Score: 0 Quiz Completed! 0 / 100 Try Again

Chapter 5 – The Rise of Empires A. 20 Short Question–Answers What is an empire? An empire is a large territory consisting of many regions or kingdoms ruled by one supreme ruler. What is a tributary kingdom? A tributary kingdom is a kingdom that accepts the authority of an emperor and pays tribute to him. Why did Magadha become powerful? Magadha had fertile land, iron ore, forests, elephants and important river routes. Name the important rivers connected with Magadha. The Ganga and the Son were important rivers connected with Magadha. Who founded the Nanda dynasty? Mahapadma Nanda founded the Nanda dynasty. Who was Dhana Nanda? Dhana Nanda was the last ruler of the Nanda dynasty. Who founded the Mauryan Empire? Chandragupta Maurya founded the Mauryan Empire. Who was Kautilya? Kautilya, also known as Chanakya, was an adviser to Chandragupta Maurya. What is the Arthashastra? The Arthashastra is a famous work associated with Kautilya that discusses stat...

Class 7 Social Studies NCERT Exploring Society: India and Beyond Part-I .  Chapter 3 is “Climates of India” and Chapter 4 is “New Beginnings: Cities and States.”   Chapter 3 – Climates of India A. 20 Short Question Answers What is climate? Answer: Climate is the long-term pattern of weather conditions of a place. What type of climate does India mainly have? Answer: India mainly has a tropical monsoon climate. What is a monsoon? Answer: A monsoon is a seasonal reversal of winds that brings changes in rainfall. What is the southwest monsoon? Answer: It is the main rainy-season wind system that brings moisture from the Indian Ocean to India. When does the southwest monsoon generally reach India? Answer: It generally reaches Kerala in early June and then advances across the country. What is monsoon rainfall? Answer: It is rainfall received mainly from the seasonal monsoon winds. Why is rainfall important for India? Answer: Rainfall provides water...