प्रतिच्छेदी और अप्रतिच्छेदी रेखाएँ - Revision history

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2024-06-24T02:53:37Z

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	== अप्रतिच्छेदी रेखाएँ ==		== अप्रतिच्छेदी रेखाएँ ==
	~~When two or more lines do not intersect with each other~~, ~~they are termed as non-intersecting lines. Observe the following figure of two non-intersecting~~, ~~parallel lines~~ <math>PQ</math> ~~and~~ <math>RS</math>.[[File:Non-Intersecting lines.jpg\|alt=Fig. 2 - Non intersecting lines\|none\|thumb\|चित्र-2 अप्रतिच्छेदी रेखाएँ]]		जब दो या दो से अधिक रेखाएँ एक-दूसरे को नहीं काटती हैं, तो उन्हें अप्रतिच्छेदित रेखाएँ कहा जाता है। दो अप्रतिच्छेदित, समांतर रेखाओं <math>PQ</math> और <math>RS</math> के निम्नलिखित चित्र को देखें।[[File:Non-Intersecting lines.jpg\|alt=Fig. 2 - Non intersecting lines\|none\|thumb\|चित्र-2 अप्रतिच्छेदी रेखाएँ]]

	== अप्रतिच्छेदित रेखाओं के गुण ==		== अप्रतिच्छेदित रेखाओं के गुण ==

	* ~~Non~~-~~intersecting lines never meet and do not share any common point. They are also known as parallel lines.~~		* गैर-प्रतिच्छेदी रेखाएँ कभी नहीं मिलतीं और कोई उभयनिष्ठ बिंदु साझा नहीं करतीं। इन्हें समानांतर रेखाओं के रूप में भी जाना जाता है।
	* ~~The distance between non-intersecting lines is always the same.~~		* अप्रतिच्छेदी रेखाओं के बीच की दूरी सदैव समान होती है।

	[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]

Mani: added content

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	== प्रतिच्छेदी रेखाएँ ==		== प्रतिच्छेदी रेखाएँ ==
	~~When two or more lines meet at a common point~~, ~~they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines~~ <math>AB</math> ~~and~~ <math>CD</math> ~~and the point of intersection~~ <math>O</math>.		जब दो या दो से अधिक रेखाएँ एक उभयनिष्ठ बिंदु पर मिलती हैं, तो उन्हें प्रतिच्छेदी रेखाएँ कहा जाता है। वह बिंदु जिस पर वे एक दूसरे को काटते हैं, प्रतिच्छेदन बिंदु के रूप में जाना जाता है। निम्नलिखित चित्र को देखें जिसमें दो प्रतिच्छेद रेखाएँ <math>AB</math> और <math>CD</math> तथा प्रतिच्छेद बिंदु <math>O</math> दिखाई गई हैं।
	[[File:Intersecting lines.jpg\|alt=Fig. 1 - Intersecting lines\|none\|thumb\|चित्र-1 प्रतिच्छेदी रेखाएँ]]		[[File:Intersecting lines.jpg\|alt=Fig. 1 - Intersecting lines\|none\|thumb\|चित्र-1 प्रतिच्छेदी रेखाएँ]]

	== प्रतिच्छेदित रेखाओं के गुण ==		== प्रतिच्छेदित रेखाओं के गुण ==

	* ~~Intersecting lines meet at a single point~~, ~~they cannot meet at more than one point.~~		* प्रतिच्छेद करने वाली रेखाएँ एक ही बिंदु पर मिलती हैं, वे एक से अधिक बिंदुओं पर नहीं मिल सकतीं।
	* ~~Intersecting lines meet each other at any angle which is greater than~~ <math>0^\circ</math> ~~and less than~~ <math>180^\circ</math>.		* प्रतिच्छेद करने वाली रेखाएँ किसी भी कोण पर एक दूसरे से मिलती हैं जो <math>0^\circ</math> से अधिक और <math>180^\circ</math> से कम है।

	== अप्रतिच्छेदी रेखाएँ ==		== अप्रतिच्छेदी रेखाएँ ==

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	~~Intersecting lines are those lines that meet or cross each other in a plane. When two or more lines do not meet at any point~~, ~~they are called non-intersecting lines.~~		प्रतिच्छेदी रेखाएँ वे रेखाएँ होती हैं जो किसी समतल में एक दूसरे से मिलती हैं या एक दूसरे को काटती हैं। जब दो या दो से अधिक रेखाएँ किसी भी बिंदु पर नहीं मिलती हैं, तो उन्हें अप्रतिच्छेदी रेखाएँ कहा जाता है।

	== ~~Intersecting lines~~ ==		== प्रतिच्छेदी रेखाएँ ==
	When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines <math>AB</math> and <math>CD</math> and the point of intersection <math>O</math>.		When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines <math>AB</math> and <math>CD</math> and the point of intersection <math>O</math>.
	[[File:Intersecting lines.jpg\|alt=Fig. 1 - Intersecting lines\|none\|thumb\|~~Fig.~~ 1 ~~- Intersecting lines~~]]		[[File:Intersecting lines.jpg\|alt=Fig. 1 - Intersecting lines\|none\|thumb\|चित्र-1 प्रतिच्छेदी रेखाएँ]]

	== ~~Properties of Intersecting Lines~~ ==		== प्रतिच्छेदित रेखाओं के गुण ==

	* Intersecting lines meet at a single point, they cannot meet at more than one point.		* Intersecting lines meet at a single point, they cannot meet at more than one point.
	* Intersecting lines meet each other at any angle which is greater than <math>0^\circ</math> and less than <math>180^\circ</math>.		* Intersecting lines meet each other at any angle which is greater than <math>0^\circ</math> and less than <math>180^\circ</math>.

	== ~~Non-Intersecting lines~~ ==		== अप्रतिच्छेदी रेखाएँ ==
	When two or more lines do not intersect with each other, they are termed as non-intersecting lines. Observe the following figure of two non-intersecting, parallel lines <math>PQ</math> and <math>RS</math>.[[File:Non-Intersecting lines.jpg\|alt=Fig. 2 - Non intersecting lines\|none\|thumb\|~~Fig.~~ 2 ~~- Non intersecting lines~~]]		When two or more lines do not intersect with each other, they are termed as non-intersecting lines. Observe the following figure of two non-intersecting, parallel lines <math>PQ</math> and <math>RS</math>.[[File:Non-Intersecting lines.jpg\|alt=Fig. 2 - Non intersecting lines\|none\|thumb\|चित्र-2 अप्रतिच्छेदी रेखाएँ]]

	== ~~Properties of Non-intersecting Lines~~ ==		== अप्रतिच्छेदित रेखाओं के गुण ==

	* Non-intersecting lines never meet and do not share any common point. They are also known as parallel lines.		* Non-intersecting lines never meet and do not share any common point. They are also known as parallel lines.

Mani at 02:34, 24 June 2024

2024-06-24T02:34:06Z

← Older revision		Revision as of 08:04, 24 June 2024
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			Intersecting lines are those lines that meet or cross each other in a plane. When two or more lines do not meet at any point, they are called non-intersecting lines.

			== Intersecting lines ==
			When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines <math>AB</math> and <math>CD</math> and the point of intersection <math>O</math>.
			[[File:Intersecting lines.jpg\|alt=Fig. 1 - Intersecting lines\|none\|thumb\|Fig. 1 - Intersecting lines]]

			== Properties of Intersecting Lines ==

			* Intersecting lines meet at a single point, they cannot meet at more than one point.
			* Intersecting lines meet each other at any angle which is greater than <math>0^\circ</math> and less than <math>180^\circ</math>.

			== Non-Intersecting lines ==
			When two or more lines do not intersect with each other, they are termed as non-intersecting lines. Observe the following figure of two non-intersecting, parallel lines <math>PQ</math> and <math>RS</math>.[[File:Non-Intersecting lines.jpg\|alt=Fig. 2 - Non intersecting lines\|none\|thumb\|Fig. 2 - Non intersecting lines]]

			== Properties of Non-intersecting Lines ==

			* Non-intersecting lines never meet and do not share any common point. They are also known as parallel lines.
			* The distance between non-intersecting lines is always the same.

	[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]
	~~Intersecting and Non-Intersecting Lines~~

Mani at 08:36, 16 August 2023

2023-08-16T08:36:53Z

← Older revision		Revision as of 14:06, 16 August 2023
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	[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]
			Intersecting and Non-Intersecting Lines

Mani: Updated Category

2023-08-04T10:21:55Z

Updated Category

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	~~[[Category:ज्यामिति]]~~
	[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:28, 4 August 2023

2023-08-04T05:28:23Z

← Older revision		Revision as of 10:58, 4 August 2023
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	[[Category:ज्यामिति]]		[[Category:ज्यामिति]]
	[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]][[Category:गणित]]

Sarika at 05:21, 4 August 2023

2023-08-04T05:21:18Z

← Older revision		Revision as of 10:51, 4 August 2023
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	[[Category:ज्यामिति]]		[[Category:ज्यामिति]]
	[[Category:रेखाएँ और कोण]]		[[Category:रेखाएँ और कोण]][[Category:कक्षा-9]]

Sarika at 10:51, 18 April 2023

2023-04-18T10:51:00Z

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	~~[[Category:गणित]]~~
	[[Category:ज्यामिति]]		[[Category:ज्यामिति]]
	[[Category:रेखाएँ और कोण~~]][[Category: कक्षा -9~~]]		[[Category:रेखाएँ और कोण]]

Sarika at 06:11, 21 March 2023

2023-03-21T06:11:25Z

← Older revision		Revision as of 11:41, 21 March 2023
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	[[Category:गणित]]		[[Category:गणित]]
	[[Category:ज्यामिति]]		[[Category:ज्यामिति]]
	[[Category:रेखाएँ और कोण]]		[[Category:रेखाएँ और कोण]][[Category: कक्षा -9]]