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Use the Baudhāyana–Pythagoras theorem to show why Theorem 6 must be true.
Consider two equal chords in the same circle. Draw perpendiculars from the centre to each chord. Since the radii are equal and half of each equal chord is also equal, the Baudhāyana–Pythagoras Theorem shows that the perpendicular distances from the centre must be equal. Therefore, equal chords are aRead more
Consider two equal chords in the same circle. Draw perpendiculars from the centre to each chord. Since the radii are equal and half of each equal chord is also equal, the Baudhāyana–Pythagoras Theorem shows that the perpendicular distances from the centre must be equal. Therefore, equal chords are always equidistant from 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):
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See lessDistinguish between the troposphere and stratosphere.
The troposphere is the lowest layer, extending up to about 12 km, where temperature decreases with increasing altitude, and it contains most of the water vapour, clouds, and all weather phenomena like rainfall, fog, and hail. The stratosphere lies above it, extending up to about 50 km; it is free ofRead more
The troposphere is the lowest layer, extending up to about 12 km, where temperature decreases with increasing altitude, and it contains most of the water vapour, clouds, and all weather phenomena like rainfall, fog, and hail. The stratosphere lies above it, extending up to about 50 km; it is free of clouds and weather disturbances, making it ideal for flying aeroplanes, and it contains the ozone layer, which filters out the Sun’s harmful ultraviolet radiation. The two layers are separated by a transition zone called the tropopause.
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Distinguish between the south-west monsoon and north-east monsoon.
The south-west monsoon, also called the summer monsoon, blows from June to September, carrying moist winds from the sea (Indian Ocean, Arabian Sea, and Bay of Bengal) towards the land due to a low-pressure area over India, and it brings most of the country's annual rainfall. The north-east monsoon,Read more
The south-west monsoon, also called the summer monsoon, blows from June to September, carrying moist winds from the sea (Indian Ocean, Arabian Sea, and Bay of Bengal) towards the land due to a low-pressure area over India, and it brings most of the country’s annual rainfall. The north-east monsoon, also called the winter monsoon, occurs from October to February; it blows cold, dry winds from land to sea and generally does not bring rainfall, except when it picks up moisture over the Bay of Bengal and causes rainfall along the eastern coast, especially Tamil Nadu, Andhra Pradesh, and parts of Karnataka.
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See lessIn which layer of the atmosphere do aeroplanes fly and why?
Aeroplanes fly in the stratosphere, which extends up to about 50 km above the Earth's surface. This layer is ideal for flying because it is free of clouds and other weather disturbances, unlike the troposphere below it where rainfall, fog, storms, and other weather phenomena occur. The stable, calmRead more
Aeroplanes fly in the stratosphere, which extends up to about 50 km above the Earth’s surface. This layer is ideal for flying because it is free of clouds and other weather disturbances, unlike the troposphere below it where rainfall, fog, storms, and other weather phenomena occur. The stable, calm conditions in the stratosphere make air travel smoother and safer.
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See lessWhy do you not feel the pressure of the atmosphere?
We do not feel the pressure of the atmosphere because the air presses on our bodies from all sides equally, and our bodies exert an equal counter-pressure in response. The pressure inside our bodies is equal to the atmospheric pressure outside, so the two forces cancel each other out, and we remainRead more
We do not feel the pressure of the atmosphere because the air presses on our bodies from all sides equally, and our bodies exert an equal counter-pressure in response. The pressure inside our bodies is equal to the atmospheric pressure outside, so the two forces cancel each other out, and we remain unaware of the constant force being exerted on us.
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