6 mobile apps launched by the Indian Government

In this tech-savvy world internet services are backbone of academia, corporate and even the Government bodies. Many academic institutions and e-commerce business houses rely on internet for their business. Slowly and steadily, Government bodies are marching towards mobile apps. Let’s go through 6 mobile apps by the Indian Government and their usefulness to the public.

1. IRCTC Connect

• IRCTC Connect is an android mobile app launched by the IRCTC (Indian Railway Catering and Tourism Corporation) for ticket booking.
• This apps aims to make us familiar with the anytime, anywhere access to the IRCTC portal. Smartphone users can now book, cancel or modify their tickets at fingertips.
• Key features of the app are as follows:

• Simple one step login to IRCTC users
• User friendly interface for registration and account creation
• Search trains and stations
• Book, cancel or modify tickets
• Handy for booking tatkal tickets
• To facilitate easy booking, autofill data option
• Upcoming journey alerts

2. MyGov App

• MyGov is Government of India’s initiative to promote citizen participation in governance by channelizing their ideas, comments and suggestions to Central Ministries and associated organizations.
• Through this app, citizens can participate in policy formulation and program implementation.
• The app was launched on July 15, 2016 by the Union Minister of Electronics and Information Technology, Mr. Ravi Shankar Prasad.
• This is a user-friendly portal which provides information in the form of info-graphics, e-books, videos, daily news updates, etc. corner, etc.
• This app enables two-way communication between the government and citizens.

3. mPassport Seva

• This app aims at providing all the Passport-related services to all the Indian citizens in a convenient and transparent manner.
• This is one of the largest projects under the National e-Governance Plan (NeGP).
• ‘mPassport Seva’ app offers a wide array of services such as passport application status tracking, locating the Passport Seva Kendra (PSK) and other information related to a Passport.

4. RTI INDIA

• This is one of the fine initiatives wherein you can access RTI portal from your Android devices.
• As per a report, RTI INDIA app has more than 4,00,000 members.
• Key features include:
  • Comments and reply to RTI query
  • Upload images relating to Right to Information directly from your android device
  • Send and receive messages to RTI activists
  • Read and post to RTI blogs and articles
  • View RTI activist profiles
  • Information regarding the state and central government rules
• RTI activist CJ Karira believes that this app allows members of the website to access all the information, forums and questions.

5. URJA (Urban Jyoti Abhiyan) App

• URJA- Urban Jyoti Abhiyan Mobile app was launched by the Union Minister of State for Power, Coal and New and Renewable Energy Mr. Piyush Goyal.
• The app is developed to enhance connectivity of consumers with the urban power distribution sector by providing information to consumers on power outage, addressing complaints, power reliability etc.
• The app focuses on Prime Minister’s principle of good governance.

6. DND Services App

• Do Not Disturb Services app helps smartphone users to register their mobile numbers to avoid Unsolicited Commercial Communication, Telemarketing Calls and related SMS.
• The user friendly interface does not require much of the user intervention. Users can also check the Status of Complaints (Call/SMS).
• The DND services app developed by Telecom Regulatory Authority of India (TRAI) is an alternative for filing pesky calls and SMS complaints.

6 mobile apps launched by the Indian Government

In this tech-savvy world internet services are backbone of academia, corporate and even the Government bodies. Many academic institutions and e-commerce business houses rely on internet for their business. Slowly and steadily, Government bodies are marching towards mobile apps. Let’s go through 6 mobile apps by the Indian Government and their usefulness to the public.

1. IRCTC Connect

• IRCTC Connect is an android mobile app launched by the IRCTC (Indian Railway Catering and Tourism Corporation) for ticket booking.
• This apps aims to make us familiar with the anytime, anywhere access to the IRCTC portal. Smartphone users can now book, cancel or modify their tickets at fingertips.
• Key features of the app are as follows:

• Simple one step login to IRCTC users
• User friendly interface for registration and account creation
• Search trains and stations
• Book, cancel or modify tickets
• Handy for booking tatkal tickets
• To facilitate easy booking, autofill data option
• Upcoming journey alerts

2. MyGov App

• MyGov is Government of India’s initiative to promote citizen participation in governance by channelizing their ideas, comments and suggestions to Central Ministries and associated organizations.
• Through this app, citizens can participate in policy formulation and program implementation.
• The app was launched on July 15, 2016 by the Union Minister of Electronics and Information Technology, Mr. Ravi Shankar Prasad.
• This is a user-friendly portal which provides information in the form of info-graphics, e-books, videos, daily news updates, etc. corner, etc.
• This app enables two-way communication between the government and citizens.

3. mPassport Seva

• This app aims at providing all the Passport-related services to all the Indian citizens in a convenient and transparent manner.
• This is one of the largest projects under the National e-Governance Plan (NeGP).
• ‘mPassport Seva’ app offers a wide array of services such as passport application status tracking, locating the Passport Seva Kendra (PSK) and other information related to a Passport.

4. RTI INDIA

• This is one of the fine initiatives wherein you can access RTI portal from your Android devices.
• As per a report, RTI INDIA app has more than 4,00,000 members.
• Key features include:
  • Comments and reply to RTI query
  • Upload images relating to Right to Information directly from your android device
  • Send and receive messages to RTI activists
  • Read and post to RTI blogs and articles
  • View RTI activist profiles
  • Information regarding the state and central government rules
• RTI activist CJ Karira believes that this app allows members of the website to access all the information, forums and questions.

5. URJA (Urban Jyoti Abhiyan) App

• URJA- Urban Jyoti Abhiyan Mobile app was launched by the Union Minister of State for Power, Coal and New and Renewable Energy Mr. Piyush Goyal.
• The app is developed to enhance connectivity of consumers with the urban power distribution sector by providing information to consumers on power outage, addressing complaints, power reliability etc.
• The app focuses on Prime Minister’s principle of good governance.

6. DND Services App

• Do Not Disturb Services app helps smartphone users to register their mobile numbers to avoid Unsolicited Commercial Communication, Telemarketing Calls and related SMS.
• The user friendly interface does not require much of the user intervention. Users can also check the Status of Complaints (Call/SMS).
• The DND services app developed by Telecom Regulatory Authority of India (TRAI) is an alternative for filing pesky calls and SMS complaints.

6 mobile apps launched by the Indian Government

In this tech-savvy world internet services are backbone of academia, corporate and even the Government bodies. Many academic institutions and e-commerce business houses rely on internet for their business. Slowly and steadily, Government bodies are marching towards mobile apps. Let’s go through 6 mobile apps by the Indian Government and their usefulness to the public.

1. IRCTC Connect

• IRCTC Connect is an android mobile app launched by the IRCTC (Indian Railway Catering and Tourism Corporation) for ticket booking.
• This apps aims to make us familiar with the anytime, anywhere access to the IRCTC portal. Smartphone users can now book, cancel or modify their tickets at fingertips.
• Key features of the app are as follows:

• Simple one step login to IRCTC users
• User friendly interface for registration and account creation
• Search trains and stations
• Book, cancel or modify tickets
• Handy for booking tatkal tickets
• To facilitate easy booking, autofill data option
• Upcoming journey alerts

2. MyGov App

• MyGov is Government of India’s initiative to promote citizen participation in governance by channelizing their ideas, comments and suggestions to Central Ministries and associated organizations.
• Through this app, citizens can participate in policy formulation and program implementation.
• The app was launched on July 15, 2016 by the Union Minister of Electronics and Information Technology, Mr. Ravi Shankar Prasad.
• This is a user-friendly portal which provides information in the form of info-graphics, e-books, videos, daily news updates, etc. corner, etc.
• This app enables two-way communication between the government and citizens.

3. mPassport Seva

• This app aims at providing all the Passport-related services to all the Indian citizens in a convenient and transparent manner.
• This is one of the largest projects under the National e-Governance Plan (NeGP).
• ‘mPassport Seva’ app offers a wide array of services such as passport application status tracking, locating the Passport Seva Kendra (PSK) and other information related to a Passport.

4. RTI INDIA

• This is one of the fine initiatives wherein you can access RTI portal from your Android devices.
• As per a report, RTI INDIA app has more than 4,00,000 members.
• Key features include:
  • Comments and reply to RTI query
  • Upload images relating to Right to Information directly from your android device
  • Send and receive messages to RTI activists
  • Read and post to RTI blogs and articles
  • View RTI activist profiles
  • Information regarding the state and central government rules
• RTI activist CJ Karira believes that this app allows members of the website to access all the information, forums and questions.

5. URJA (Urban Jyoti Abhiyan) App

• URJA- Urban Jyoti Abhiyan Mobile app was launched by the Union Minister of State for Power, Coal and New and Renewable Energy Mr. Piyush Goyal.
• The app is developed to enhance connectivity of consumers with the urban power distribution sector by providing information to consumers on power outage, addressing complaints, power reliability etc.
• The app focuses on Prime Minister’s principle of good governance.

6. DND Services App

• Do Not Disturb Services app helps smartphone users to register their mobile numbers to avoid Unsolicited Commercial Communication, Telemarketing Calls and related SMS.
• The user friendly interface does not require much of the user intervention. Users can also check the Status of Complaints (Call/SMS).
• The DND services app developed by Telecom Regulatory Authority of India (TRAI) is an alternative for filing pesky calls and SMS complaints.

6 mobile apps launched by the Indian Government

In this tech-savvy world internet services are backbone of academia, corporate and even the Government bodies. Many academic institutions and e-commerce business houses rely on internet for their business. Slowly and steadily, Government bodies are marching towards mobile apps. Let’s go through 6 mobile apps by the Indian Government and their usefulness to the public.

1. IRCTC Connect

• IRCTC Connect is an android mobile app launched by the IRCTC (Indian Railway Catering and Tourism Corporation) for ticket booking.
• This apps aims to make us familiar with the anytime, anywhere access to the IRCTC portal. Smartphone users can now book, cancel or modify their tickets at fingertips.
• Key features of the app are as follows:

• Simple one step login to IRCTC users
• User friendly interface for registration and account creation
• Search trains and stations
• Book, cancel or modify tickets
• Handy for booking tatkal tickets
• To facilitate easy booking, autofill data option
• Upcoming journey alerts

2. MyGov App

• MyGov is Government of India’s initiative to promote citizen participation in governance by channelizing their ideas, comments and suggestions to Central Ministries and associated organizations.
• Through this app, citizens can participate in policy formulation and program implementation.
• The app was launched on July 15, 2016 by the Union Minister of Electronics and Information Technology, Mr. Ravi Shankar Prasad.
• This is a user-friendly portal which provides information in the form of info-graphics, e-books, videos, daily news updates, etc. corner, etc.
• This app enables two-way communication between the government and citizens.

3. mPassport Seva

• This app aims at providing all the Passport-related services to all the Indian citizens in a convenient and transparent manner.
• This is one of the largest projects under the National e-Governance Plan (NeGP).
• ‘mPassport Seva’ app offers a wide array of services such as passport application status tracking, locating the Passport Seva Kendra (PSK) and other information related to a Passport.

4. RTI INDIA

• This is one of the fine initiatives wherein you can access RTI portal from your Android devices.
• As per a report, RTI INDIA app has more than 4,00,000 members.
• Key features include:
  • Comments and reply to RTI query
  • Upload images relating to Right to Information directly from your android device
  • Send and receive messages to RTI activists
  • Read and post to RTI blogs and articles
  • View RTI activist profiles
  • Information regarding the state and central government rules
• RTI activist CJ Karira believes that this app allows members of the website to access all the information, forums and questions.

5. URJA (Urban Jyoti Abhiyan) App

• URJA- Urban Jyoti Abhiyan Mobile app was launched by the Union Minister of State for Power, Coal and New and Renewable Energy Mr. Piyush Goyal.
• The app is developed to enhance connectivity of consumers with the urban power distribution sector by providing information to consumers on power outage, addressing complaints, power reliability etc.
• The app focuses on Prime Minister’s principle of good governance.

6. DND Services App

• Do Not Disturb Services app helps smartphone users to register their mobile numbers to avoid Unsolicited Commercial Communication, Telemarketing Calls and related SMS.
• The user friendly interface does not require much of the user intervention. Users can also check the Status of Complaints (Call/SMS).
• The DND services app developed by Telecom Regulatory Authority of India (TRAI) is an alternative for filing pesky calls and SMS complaints.

Important Schemes launched by Government of India

Here are some Important Schemes Launched by Government of India. You will get questions on these schemes in various competitive Exams like RBI, SBI, IBPS, SSC etc.

Stand Up India Scheme

The Scheme aims to promote entrepreneurship among Scheduled Caste/Schedule Tribe and Women.

Key Points:

I. It provides composite loan for setting up any new enterprise, between Rs. 10 lakh and upto Rs.100 lakh.

II. It provides RuPay Debit Card for withdrawal of working capital.

III. The scheme seeks to develop credit history of borrowers.

IV. The government will open a refinance window through Small Industries Development Bank of India (SIDBI) with an initial amount of Rs.10, 000 crore.

V. The scheme will also facilitate the creation of a corpus of Rs. 5,000 crore for credit guarantee through National Credit Guarantee Trustee Company (NCGTC).

VI. It will also provide handholding support for borrowers with comprehensive support for pre loan training needs, facilitating loan, factoring, marketing etc.

VII. It is accompanied with the launch of a Web Portal for online registration and support services.

Start Up India Scheme

The scheme aims to push for Entrepreneurship in the country by providing enabling environment for the entrepreneurs.

Key Points:

I. Funds of Fund worth Rs 10,000 Crore will be created, for development and growth of innovative enterprises.

II. Credit Guarantee Fund – Rs 500 Crore per year over next 4 years.

III. Profits of Start-up units will be tax-free for 3 years.

IV. No labour Inspection for 3 years instead self-certification based regime to be followed.

V. Quicker and subsidized (i.e. 80%) patent clearance mechanism to be evolved.

VI. New mobile App to register Start-ups & apply for Online Clearances will be operational from April 1, 2016.

VII. Provision of easier exits (within 90 days) for failed ventures under the Bankruptcy and Insolvency Bill, 2015.

VIII. 500 sector specific incubators, including 5 new Bio clusters will be established across the country.

IX. Under this, 35 new incubators, 7 new research parks, 31 innovation centers will be set up at the National institutes under the public private partnership mode.

X. Under Atal Innovation Mission, seeds fund and Pre- incubation training will be given.

XI. Capital gains tax to be exempted for venture capital investments. The exemption, however, will be applicable only when only when the proceeds are invested in another startup.

XII. An innovation programme will be launched in 5 lakh schools across the country to nurture innovation among 10 lakh children.

XIII. To protect intellectual Property Rights, a new scheme will be developed.

Pradhan Mantri Ujjwala Yojana

The scheme aims to provide Free LPG connections to Women from BPL Households.

Key Points:

I. Rs 8000 crore has been earmarked for providing five crore LPG connections to BPL households.

II. The Scheme provides a financial support of Rs 1600 for each LPG connection to the BPL households.

III. The Scheme would be implemented over three years, namely, the FY 2016-17, 2017-18 and 2018-19.

IV. In the budget for 2016-17, Rs 2000 Crores have been allocted for the scheme, which will provide free LPG connections to 1.5 crore women.

Note: i) This is the first time in the history of the country that the Ministry of Petroleum and Natural Gas would implement a welfare scheme benefitting crores of women belonging to the poorest households.

ii) The identification of eligible BPL families will be made in consultation with the State Governments and the Union Territories.

Pradhan Mantri Fasal Bima Yojana

Key Points:

I. There will be a uniform premium of only 2% to be paid by farmers for all Kharif crops and 1.5% for all Rabi crops, while for annual commercial and horticultural crops it is only 5%.

Balance premium will be paid by the Government to provide full insured amount to the farmers against crop loss on account of natural calamities.

II. There is no upper limit on Government subsidy. Even if balance premium is 90%, it will be borne by the Government.

III. There is no provision of capping the premium rate. Thus, farmers will get claim against full sum insured without any reduction.

IV. The use of technology will be encouraged to a great extent.

Setu Bharatam Project

‘Setubharatam’ project aims to make all National Highways railway crossing free by the year 2019, in order to prevent the frequent accidents and loss of lives at level crossings.

Key Points:

I. Under the project, 208 Railway Over Bridges (ROB)/Railway Under Bridges (RUB) will be built at the level crossings at a cost of Rs. 20,800 crore.

II. In addition, 1500 new bridges are also proposed to be constructed to replace the old bridges.

Swachh Paryatan Mobile App

This project is being implemented by the Ministry of Tourism, Government of India through DeGS and NIC. This Mobile App is available on Google Search Engine as ‘Swachh Paryatan’ and initially it is available on Android Phones. This mobile app shall be monitored by the Project Monitoring Unit of Swachh Bharat Mission in Ministry of Tourism.

Dr. Mahesh Sharma, while launching this app, said since the general public and the tourists are the largest stakeholders in keeping the monuments clean, the Ministry of Tourism has decided to facilitate the general public to communicate their complaints about any unclean area/garbage piles in and around tourist destinations. So, the Ministry of Tourism is launching this Mobile App.

25 Adarsh Smarak Monuments protected by Archaeological Survey of India (ASI) have been identified for inclusion in the app, which are as follows

• Leh Palace, Leh, J&K
• Jageshwar Temples, Uttarakhand
• Humayun’s Tomb, New Delhi
• Sravasti, Uttar Pradesh
• Qutub Minar Complex, New Delhi
• Sarnath, Uttar Pradesh
• Red Fort, Delhi
• Vaishali-Kolhua, Bihar
• Hazardwari Palace, Murshidabad, West Bengal
• Khajuraho Western Gropu Complex, Madhya Pradesh
• Shore Temple, Mahabalipuram, Tamil Nadu
• Jahaz Mahal Parisar,Mandu, Madhya Pradesh
• Elephanta Caves, Mumbai, Maharastra
• Martand Temple, Kashmir
• Taj Mahal, Agra, UP
• Thanjuar-Brihadeshwar Temple, Tamil Nadu
• Kumbhalgarh Fort, Rajasthan
• Group of Temples, Pattadakal, Karnataka
• Rani-ki-Vav, Gujarat
• Masrur Rock-cut Temple, Himachal Pradesh
• Fatehpur Sikri, Agra, Uttar Pradesh
• Rang Ghar, Sibsagar, Assam
• Hampi, Karnataka
• Konark Temple, Odisha
• Daulatabad Fort, Maharashtra

 Gram Uday to Bharat Uday Abhiyan (14th to 24th April, 2016)

Dr Jitendra Singh launched the “Gram Uday Se Bharat Uday” Abhiyan in Udhampur on April 14, 2016. This campaign aims to generate nation-wide efforts to increase social harmony across villages, strengthen Panchayati Raj, promote rural development, and foster farmers’ progress.

A ‘Social Harmony Programme’ will be conducted during (14th April to 16th April, 2016) in all Gram Panchayats. In this programme, villagers will honour Dr. Ambedkar, and resolve to strengthen social harmony.

Between 17th April to 20th April, 2016 ‘Village Farmer Assemblies’ will be organized in Gram Panchayats.

Gram Sabha meetings will be held from 21-24th April, 2016 across the country.

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त्रिभुज के 22 महत्वपूर्ण नियम – PDF -E-Book

डाउनलोड लिंक नीचे दिया गया है

1. न्यूनकोण त्रिभुज- प्रत्येक कोण 90 डिग्री से कम होता है
2. समकोण त्रिभुज- एक कोण 90 डिग्री शेष दोनों कोण एक दूसरे के पूरक होते है
3. अधिक कोण त्रिभुज- कोई भी एक कोण 90 डिग्री से अधिक का होता है
4. विषमबाहु त्रिभुज- सभी भुजाएं आपस में असमान होती है
5. समद्विबाहू त्रिभुज- कोई दो भुजाएं आपस में समान होती है एवं समान भुजाओं के विपरीत कोण भी समान होते है
6. समबाहु त्रिभुज- सभी तीनों भुजाओं समान होती है व प्रत्येक कोण 60 डिग्री का होता है
7. अभिलंब- किसी त्रिभुज में एक भुजा के विपरीत शीर्ष से भुजा पर डाला गया लंब अभिलंब कहलाता है एवं एक त्रिभुज में तीन अभिलंब होते है
8. मध्यिका- शीर्ष के सामने वाली भुजा के मध्य बिंदु से मिलाने वाली रेखा मध्यिका कहलाती है एवं त्येक त्रिभुज में तीन मध्यिकायें होती है तथा मध्यिका त्रिभुज को दो बराबर क्षेत्रफल में बांटती है
9. कोण समद्विभाजक- रेखाखंड, जो त्रिभुज के शीर्ष से प्रारंभ होता है एवं कोण को दो समान भागों में बांटता है
10. लंब समद्विभाजक- रेखाखंड, जो त्रिभुज की भुजा के साथ समकोण बनाते हुए उसे दो समान भागों में बांटता है
11. लम्ब केंद्र- वह बिंदु जहाँ किसी त्रिभुज के तीनों अभिलंब मिलते है
12. केंद्रक- त्रिभुज की तीनों मध्यिकायें जिस बिंदु पर मिलती है केंद्रक कहलाता है एवं केंद्रक प्रत्येक मध्यिका को 2:1 में विभाजित करता है
13. अंत: केंद्र- त्रिभुज के कोण समद्विभाजक जिस बिंदु पर मिलते है अंत: केंद्र कहलाता है
14. परिकेंद्र- वह बिंदु जहाँ भुजाओं के लम्ब समद्विभाजक मिलते है परिकेंद्र कहलाता है एवं परिकेंद्र हमेशा तीनों शीर्षो से समान दूरी पर होता है
15. किसी समकोण त्रिभुज में कर्ण का वर्ग अन्य दो भुजाओं के वर्गों के योग के बराबर होता है
16. त्रिभुज में किसी भुजा के समानांतर खींची गई रेखा अन्य दोनों भुजाओं को भुजाओं को समान अनुपात में बांटती है
17. त्रिभुज की भुजाओं के मध्य बिंदुओं को मिलाने वाली तीसरी भुजा के समांतर एवं आधी होती है
18. किसी त्रिभुज में किन्ही दो भुजाओं के वर्गो का योग तीसरी भुजा की माध्यका एवं उसके आधे के वर्गो के योग के दोगुने के बराबर होती है
19. त्रिभुज में किसी कोण का समद्विभाजक विपरीत भुजा को अन्य भुजाओं के अनुपात में विभाजित करता है
20. किन्हीं दो त्रिभुजों की संगत भुजाएं समान होने पर वह दोनों त्रिभुज सर्वागसम कहलाते है
21. किन्हीं दो त्रिभुजों की कोई दो संगत भुजाएं एवं उनके बीच का कोण समान होने पर वह दोनों पर वह दोनों त्रिभुज सर्वागसम कहलाते है
22. किन्हीं दो त्रिभुजों के कोई दो कोण एवं उनके बीच की भुजा समान होने पर वह दोनों त्रिभुज सर्वागसम कहलाते है

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वृत्त – 24 महत्वपूर्ण नियम PDF

1. वृत में समान चाप द्वारा बनी जीवायें समान होती है
2. वृत्त की समान जीवायें केंद्र पर समान कोण बनती है
3. वृत्त के केंद्र से जीवा पर डाला गया लंब जीवा को समद्विभाजित करता है
4. वृत्त के केंद्र व जीवा के मध्य बिंदु को मिलाने वाली रेखा जीवा पर लम्ब होती है
5. वृत्त की जीवा का लम्ब समद्विभाजक वृत्त केंद्र से होकर गुजरता है
6. वृत्त की समान जीवाएं केंद्र से समान दूरी पर होती है
7. वृत्त के केंद्र से समान दूरी पर स्थित जीवाएं आपस में समान होती है
8. वृत्त में किसी चाप के द्वारा केंद्र पर बनाया गया कोण उसी चाप द्वारा वृत्त की परिधि पर बने कोण का दुगना होता है
9. अर्द्धवृत्त में बना कोण समकोण होता है
10. एक ही वृत्त खंड में बने कोण समान होते है
11. यदि कोई रेखा खण्ड अपने एक ही तरफ स्थित दो बिंदुओं पर समान कोण बनाता है तब वह चारों ओर बिंदु एक ही वृत्त पर स्थित होते है
12. चक्रीय चतुर्भुज के विपरीत कोणों का योग 180 अंश का होता है
13. किसी चक्रीय चतुर्भुज में बाह्य कोण, अपने अंत: विपरीत कोण के समान होता है
14. वृत्त की कोई भी स्पर्श रेखा वृत्त की त्रिज्या के साथ समकोण बनाती है
15. किसी बाह्य बिंदु से वृत्त पर खीची गई स्पर्श रेखाएं समान होती है
16. यदि किसी वृत्त की दो जीवाएं AB व CD एक दूसरे को E बिंदु पर काटती है तब AE X  BE =CE X DE
17. यदि PB वृत्त की छेदक रेखा है जो वृत्त को A एवं B बिंदुओं पर काटती है एवं T एक स्पर्श रेखा है तब PA.PB=(PT)2
18. केंद्र वाले वृत्त के किसी बाह्य बिंदु P से वृत्त पर दो स्पर्श रेखाएं PA तथा PB खींचने पर रेखा OP,AB को लंब समद्विजभाजक करती है
19. जब कोई वृत्त एक दूसरे को बाह्यत: स्पर्श करते है तब उनका स्पर्श बिंदु उनके केंद्रों को मिलाने वाली स्पर्श रेखा पर स्थित होता है
20. जब दो वृत्त एक-दूसरे को बाह्यत: स्पर्श करते है तब उनके केंद्रों के बीच की दूरी उनके योग के त्रिज्याओं के योग के बराबर होती है AB=AC + BC
21. जब दो वृत्त एक दूसरे को अंत: स्पर्श करतेहै तब उनके केंद्रों के बीच की दूरी उनकी त्रिज्यों के अतर के बराबर होती है AB=AC – BC
22. किसी चक्रीय चतुर्भुज के कोणों के समद्विभाजकों से बना चतुर्भुज भी एक चक्रीय चतुर्भुज होता है
23. यदि किसी चक्रीय चतुर्भुज की दो सम्मुख भुजाएं समान हों, तब दूसरी सम्मुख भुजाएं समानांतर होती है
24. किसी चक्रीय चतुर्भुज के चारों बाह्य वृत्तखडों में संगत भुजाओं द्वारा अंतरित कोणों का योग 6 समकोण के बराबर होता है

वृत्त 24 महत्वपूर्ण नियम [.07 MB ] डाउनलोड करें

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प्रतिशत – SSC CGL के लिये महत्वपूर्ण प्रश्न (भाग – 2)

प्रश्न – 1- एक परीक्षा में 1000 लडके और 800 लडकीयॉं शामिल होती हैं, यदि 60% लडके तथा 50% लडकीयॉं उत्तीर्ण होती हैं, तो अनुत्तीर्ण या असफल छात्रों का प्रतिशत ज्ञात करें? 

हल :-

उत्तीर्ण लडके = 60%

इसलिये अनुत्तीर्ण लडके = 100-60 = 40%
1000 का 40% = 400
इसी प्रकार अनुत्तीर्ण लडकीयॉं = 100-50 = 50%
800 का 50%= 400
कुल छात्र = 1000+800 = 1800
कुल अनुत्तीर्ण = 400+400 = 800
अत: 

प्रश्न – 2. एक विद्यालय से 2 सालों में क्रमश: 100 तथा 75 छात्र एक परीक्षा में शामिल होते हैं, उनमें से क्रमश: 75% तथा 60% छात्र सफल होते हैं, तो सफलता की औसत दर क्या है? 

हल:-

पहले वर्ष सफल छात्र = 

इसी प्रकार दूसरे वर्ष = 

कुल सफल छात्र = 75+45 = 120

अत: सफलता का प्रतिशत = 

प्रश्न – 3-एक कर्मचारी का भत्ता उसके मूल वेतन का 165% है, यदि उसे कुल वेतन 11925/- मिलता है तो उसका मूल वेतन कितना है?
हल: – कुल वेतन = भत्ता + मूलवेतन = 165%+100% = 11925
265% = 11925
1%=   

अत: मूलवेतन जो कि 100% होगा

100% = 45 X 100 = 4500  उत्तर

प्रश्न – 4 एक शहर की जंसंख्या 3,11,250 है, महिलाओं तथा पुरुषों का अनुपात 43:40 है, यदि महिलाओं मे 24% शिक्षित हैं तथा पुरुषों में 10% निरक्षर हैं , तो शहर में शिक्षितोंं की संख्या क्या है? 

हल:-

महिलाओं की कुल संख्या = 

शिक्षित महिलायें = 

इसी प्रकार पुरुषों की संख्या = 

पुरुषों में 10% निरक्षर हैं, अत: 90% साक्षर हैं
अत: शिक्षित पुरुषों की संख्या = 

अत: कुल साक्षर = 38700+135000= 173700

प्रश्न – 5-वर्ष 2008 में 31% कर्मचारी टैक्स भुगतान करते हैं , टैक्स नहीं देने वाले कर्मचारीयों की संख्या 27,600 है, तो कर्मचारीयों की कुल संख्या क्या है?

हल :-

टैक्स नहीं देने वाले कर्मचारीयों का प्रतिशत – (100-31)= 69%
अत: 69% = 27600
इसलिये 
अत: 100% = 400 X 100 = 40000 उत्तर

प्रश्न – 6-एक बक्से में 100 नीली, 50 लाल तथा 50 काली गेंदेंं हैं , 25% नीली गेंदें तथा 50% लाल गेंदें निकाल ली गई, तो वर्तमान में कितने प्रतिशत काली गेंदें हैं ?

हल:-  बक्से में कुल गेंदें = 100+50+50 = 200

25% नीली गेंदे निकालने के बाद बची नीली गेंदें = 75

50% लाल गेंदें निकालने के बाद बची लाल गेंदें = 25
वर्तमान में बची कुल गेंदें = 200-75-25= 100
काली गेंदों की संख्या = 50
अत: काली गेंदों का प्रतिशत = 50% होगा

प्रश्न – 7-एक दर्जन जोडी मोजों का अंकित मूल्य 180/- है, और उस पर 20% छूट दी जाती है, तो 48 रु0 में कितने जोडी मोजे खरीदे जा सकते हैं ?

हल :-
छूट देने के बाद एक दर्जन मोजों का क्रय मूल्य

अत: एक जोडी मोजे का मूल्य = 144/12 = 12 रुपये
अत: 48 रुपये में खरीदे जा सकते हैं = 48/12 = 4 जोडी मोजे

प्रश्न – 8-एक फैक्ट्री में 2 वर्षों में साइकिल का उत्पादन 40000 से बढकर 48400 हो गया , तो वार्षिक वृद्धि बतायेंं? 

हल:-

r=10%

प्रश्न – 9-एक कक्षा में दो सेक्शन हैं, जिनमें क्रमश: 20 तथा 30 छात्र हैं, इन दो सेक्शनों की सफलता का प्रतिशत क्रमश: 80% और 60% है, तो पूरी कक्षा की सफलता का प्रतिशत ज्ञात करें ? 

हल: –

सम्पूर्ण छात्र संख्या = 20+30 = 50
पहले सेक्शन में सफल छात्र = 20 का 80% = 16
दूसरे सेक्शन में सफल छात्र = 30 का 60% = 18
कुल सफल छात्र = 16+18 = 34
अत: सफलता का % = उत्तर