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An isosceles triangle ABC is inscribed in a circle, with AB = AC. Show that the altitude from A to BC passes through the centre of the circle.
Since AB = AC, triangle ABC is isosceles. The altitude drawn from A to BC also bisects BC. As BC is a chord of the circumcircle, its perpendicular bisector always passes through the centre of the circle. Therefore, the altitude from A to BC passes through the centre of the circle. For more NCRead more
Since AB = AC, triangle ABC is isosceles. The altitude drawn from A to BC also bisects BC. As BC is a chord of the circumcircle, its perpendicular bisector always passes through the centre of the circle. Therefore, the altitude from A to BC passes through the centre of the circle.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/
See lessTwo parallel chords of lengths 6 cm and 8 cm are on opposite sides of the centre of a circle. If the radius of the circle is 5 cm, find the distance between the midpoints of the chords.
Draw perpendiculars from the centre to both chords. These perpendiculars pass through the midpoints of the chords. Using the Pythagoras Theorem, the distances from the centre to the shorter and longer chords are found to be four centimetres and three centimetres, respectively. Since the chords are oRead more
Draw perpendiculars from the centre to both chords. These perpendiculars pass through the midpoints of the chords. Using the Pythagoras Theorem, the distances from the centre to the shorter and longer chords are found to be four centimetres and three centimetres, respectively. Since the chords are on opposite sides of the centre, the distance between their midpoints is seven centimetres.
For more NCERT Solutions for Class 9 Maths Ganita Manjari Chapter 5 I’m Up and Down and Round and Round (2026-27):
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-5/
See lessDivide the class into three groups. Each group will work on one project (water, wind, and glacier). The project should highlight the causes, impact on human life and the environment, and mitigation measures.
Group 1: Water Our group will study the role of water in shaping the Earth's surface. Flowing water causes erosion by cutting rocks and carrying soil from one place to another. It also deposits sediments, which form landforms such as flood plains and deltas. Sometimes, heavy rainfall and floods causRead more
Group 1: Water
See lessOur group will study the role of water in shaping the Earth’s surface. Flowing water causes erosion by cutting rocks and carrying soil from one place to another. It also deposits sediments, which form landforms such as flood plains and deltas. Sometimes, heavy rainfall and floods cause loss of life, damage to crops, houses, and roads. To reduce these problems, we should plant more trees, improve drainage systems, and use flood warning systems so that people can move to safer places in time.
Group 2: Wind
Our group will study how wind changes the landscape, especially in deserts. Strong winds carry sand and small rock particles, which erode rocks and form features like sand dunes and mushroom rocks. Dust storms and strong winds can damage crops, reduce visibility, and affect people’s health. Planting trees, protecting vegetation, and controlling desertification can help reduce the harmful effects of wind erosion.
Group 3: Glacier
Our group will study the work of glaciers in mountain regions. Glaciers move slowly and erode rocks, forming U-shaped valleys and other landforms. Due to global warming, glaciers are melting faster, which can cause floods and increase the risk of water shortages in the future. We can reduce these problems by protecting the environment, reducing pollution, and taking steps to control climate change.
Translate the given poster into your native language and display it in your home.
भूस्खलन से पहले: • अधिक से अधिक पेड़ लगाएँ, क्योंकि वे मिट्टी को मजबूती से बाँधे रखते हैं। • रेडियो सुनें तथा टीवी और समाचार-पत्रों के माध्यम से चेतावनियों पर ध्यान दें। • नालियों को साफ रखें और पानी के निकास को अवरुद्ध न होने दें। • चेतावनी के संकेतों पर ध्यान दें, जैसे इमारतों का धँसना, चट्टानों मRead more
भूस्खलन से पहले:
• अधिक से अधिक पेड़ लगाएँ, क्योंकि वे मिट्टी को मजबूती से बाँधे रखते हैं।
• रेडियो सुनें तथा टीवी और समाचार-पत्रों के माध्यम से चेतावनियों पर ध्यान दें।
• नालियों को साफ रखें और पानी के निकास को अवरुद्ध न होने दें।
• चेतावनी के संकेतों पर ध्यान दें, जैसे इमारतों का धँसना, चट्टानों में दरारें या नदी का पानी अत्यधिक गंदला होना।
• खड़ी ढलानों तथा जल निकासी वाले क्षेत्रों के पास मकान न बनाएँ।
भूस्खलन के दौरान:
• शांत रहें और घबराएँ नहीं।
• अपने परिवार या साथियों के साथ रहें।
• यदि पेड़ों के टूटने, चट्टानों के टकराने जैसी असामान्य आवाज़ें सुनाई दें, तो तुरंत सतर्क हो जाएँ।
• भूस्खलन वाले क्षेत्र और घाटी के निचले भाग से तुरंत दूर चले जाएँ।
• निकटतम तहसील या जिला प्रशासन को तुरंत सूचना दें।
भूस्खलन के बाद:
• गिरी हुई सामग्री, बिजली के तारों या खंभों को न छुएँ और न ही उन पर चलें।
• भूस्खलन वाले क्षेत्र और घाटी के निचले भाग से दूर रहें।
• घायल या फँसे हुए लोगों की जाँच करें।
• प्राथमिक उपचार दिए बिना गंभीर रूप से घायल व्यक्ति को न हिलाएँ, जब तक कि उसकी जान को तत्काल खतरा न हो।
• नदियों या झरनों का दूषित पानी सीधे न पिएँ।
Learn with detailed, step-by-step solutions:
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/social-science/chapter-2/
Document a case of a disaster that hit your region in the past, highlighting its effects on various human activities.
Case Study: The 2023 Floods in Delhi In July 2023, Delhi experienced severe flooding due to continuous heavy rainfall and the overflowing of the Yamuna River. Many low-lying areas were submerged, forcing thousands of people to leave their homes. Roads, markets, schools and hospitals were affected, cRead more
Case Study: The 2023 Floods in Delhi
See lessIn July 2023, Delhi experienced severe flooding due to continuous heavy rainfall and the overflowing of the Yamuna River. Many low-lying areas were submerged, forcing thousands of people to leave their homes. Roads, markets, schools and hospitals were affected, causing major disruptions in daily life.
The floods damaged houses, crops and public property. Transport services were interrupted and many businesses remained closed for several days. The waterlogging also led to the spread of diseases such as dengue and malaria. Rescue teams and the government provided relief camps, food, clean drinking water and medical assistance to the affected people.
This disaster showed the importance of proper drainage systems, timely weather warnings and effective disaster management to reduce the impact of floods on human life and the environment.