N infinity Coachings

In a quaint village surrounded by lush hills, a skilled archer named Vikram was known for his exceptional aim. Every year, the village held an archery contest, and this time, the prize was a beautifully crafted bow that Vikram had admired for years. As the day of the contest approached, Vikram practiced diligently. He often shot arrows at targets set up at different distances, perfecting his technique. One evening, while practicing, he noticed that some of his arrows created interesting patterns in the sky as they flew. Intrigued, he wondered if there was a connection between the paths of his arrows and something he had learned in school about conic sections. The next day, Vikram visited his friend Riya, who was passionate about mathematics. “Riya, I’ve been thinking about the shapes my arrows make when I shoot them. They seem to resemble those curves we learned about—like circles, ellipses, parabolas, and hyperbolas. Can you help me understand?” he asked. Riya smiled and a...

In a picturesque village, a talented gardener named Meera spent her days cultivating a beautiful garden by the side of a winding river. The river flowed gently, and each season, Meera would try to determine how much water would flow into her garden from the river, especially when it rained. One rainy afternoon, as she watched the raindrops splashing into the river, her friend Ravi stopped by. He noticed Meera looking concerned. "What’s the matter?" he asked. Meera sighed, “I want to know how much water flows into my garden from the river during the rain. But the flow isn’t steady; it varies with time, and I don’t know how to calculate it.” Ravi smiled and said, “I can help you with that! We can use integration to find the total amount of water that flows into your garden over time.” Meera was intrigued but puzzled. “Integration? How does that help?” Ravi explained, “Think of the river's flow as a changing function over time. If we can measure how much water fl...

In a small village surrounded by mountains, there lived a young boy named Arjun. Arjun loved climbing hills and exploring nature, but he was often frustrated because he couldn’t figure out how tall the distant mountains were. He admired their grandeur and wished he could measure their heights to know just how far he had to climb. One day, while resting under a large banyan tree, Arjun met his friend, Priya, who was known for her love of mathematics. Seeing his curiosity, Priya decided to help him. "Why don’t we measure the height of that mountain over there?" she suggested, pointing to a tall peak in the distance. Arjun was excited but confused. "How can we do that? It’s too high to climb!" Priya smiled. "We don’t need to climb it! We can use some math. Have you heard of triangles?" Arjun nodded, remembering how triangles were formed by connecting three points. Priya explained, "If we stand a certain distance away from the mountain and loo...

In a small village, there lived a boy named Raju who dreamed of winning the local lottery. Each week, he watched as people bought tickets, some with hope and others out of habit. Raju saved up his pocket money for months and finally bought ten tickets for the grand annual draw. On the day of the draw, Raju sat eagerly in front of the radio, clutching his tickets, confident that this time he would be the lucky one. As the numbers were announced, he matched none. His heart sank as he realized that despite buying ten tickets, he hadn’t even come close to winning. The next day, he told his teacher, Mrs. Rao, about his disappointment. "I thought if I bought more tickets, I had a better chance of winning," Raju said. Mrs. Rao smiled and took out a jar filled with 1,000 pebbles. "Let's try something," she said. She handed Raju a small handful of 10 pebbles, each marked with a number from 1 to 10. "These are your tickets," she explained, "and ...

 Following are the Link of the Resources for the AGC: 1)  AGC 2023 2) AGC 2022 3) CBSE Circulars regarding AGC 4) Sample Paper for Level 1 and Level 2

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