NIOS Class 12th Mathematics 311 TMA Handwritten file download in Pdf

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Description

NIOS Class 12th Mathematics 311 TMA Handwritten file download in PDF

This applies to the March/April and October/November 2024 exams.

You can get Nios English (302) TMA Solution with Project Work of the 6th Question for the 12th from us. Here you can get high-quality Nios Solved Tutor Mark Assignment (TMA), which helps you get maximum marks. Experienced and high-quality teachers have prepared the answers to all its questions.

NIOS Class 12th Mathematics 311 TMA Handwritten file download in PDF

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This is a digital product (e-PDF). It is not refundable or changeable. Please read all the details carefully before buying. It is only for nios students. We do not allow resale.

नोट- किसी और handwriting में TMA pdf चाहिए तो हमें सम्पर्क करे। 

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Key Features:

➛ This Nios Tutor Mark Assignment (TMA) is valid only for the 2023-24 academic session.

➛ NIOS TMA will be available in e-PDF format with the best answer.

➛ Assignments are prepared by experienced Nios expert teachers.

➛ All answers to this subject are available in English medium.

➛ We guide you to prepare a high-quality assignment file as per your requirements.

➛ All assignments are handwritten and in printable format.

➛ After payment, you will get it on the dashboard, email, or WhatsApp. So that you can download it immediately.

➛ All answers are well-handwritten

➛ Special attention has been given to all the points of the question.

➛ Prepared as per the latest syllabus of nios and the given word limit.

➛ Accurate answers have been written without any mistakes.

➛ nios guidelines have been kept in special attention.

➛ All 6 questions were solved.

➛ Project work questions were solved with proper format.

➛ You can make the front page as per your choice or else you can contact us.

➛ There is no need to write, because this is a handwritten e-PDF, so you can submit it directly by putting the front page.

➛ You will get the PDF of the question on your dashboard. By downloading from it, you can only upload the questions on the Nios portal.

➛ The practical file page has been solved in A4 size pages.

➛ The name of the subject has been written with a sketch pen.

➛ Black and blue pens were used for the question-answer.

➛ Wherever the pictures and tables are given, they have been made well.

➛ The highest marks are fully guaranteed.

NIOS Class 12th Mathematics 311 TMA Handwritten file download in PDF

Note –

➛ A total of six questions have been given by Nios in TMA. All the questions have two options from which one has to be selected. In this PDF, we have given you the answer to one option that is better so that your marks are good.

➛ You will find the question and answer written on the practical file page A4 size sheet given in this PDF.
NIOS TMA Questions

                           

                   

                                                                                           गणित

                                                                                 Mathematics

                                                                                        311

                                                                     Tutor Marked Assignment

                                                                         शिक्षक अंकित मूल्यांकन पत्र

टिप्पणी/Note:         i) सभी प्रश्न अनिवार्य हैं। प्रत्येक प्रश्न के लिए आवंटित अंक प्रश्नों के सामने अंकित हैं।

All questions are compulsory. The marks allotted for each question are indicated against each question.

1. ii) उत्तरपुस्तिका के प्रथ्म पृष्ठ पर ऊपर की ओर अपना नाम, अनुक्रमांक, अध्ययन केन्द्र का नाम और विषय स्पष्ट शब्दों में लिखिए।

Write your name enrolment number, AI name, and subject on the top of the first page of the answer sheet.

1. निम्नलिखित में से किसी एक प्रश्न का उत्तर दीजिए।

Answer any one of the following questions.

निम्नलिखित समुच्चयों को रोस्टर रूप में लिखिए:

1. A = {x : x एक पूर्णाक है और -3 ≤ x < 7}
2. B = {x : x, 6 से छोटी प्राकृत संख्या है}

Write the following sets in roster form 2

1. a) A = {x: x is an integer and –3 ≤ x < 7}
2. b) B = {x: x is a natural number less than 6}

अथवा/ OR

1. चित्र 1 से tan P – cot R ज्ञात कीजिए।

From the given figure, find tan P – cot R.

 

1. सिध्द कीजिए कि (sin⁴θ – cos⁴θ +1) cosec²θ = 2

 

Prove that (sin⁴θ – cos⁴θ +1) cosec²θ = 2

2. निम्नलिखित प्रश्नों में से किसी एक प्रश्न का उत्तर दीजिए।

Answer any one of the following questions.

1. एपी 6, 9, 12, 15, 18, ……, 102 के अंत से 28वां पर ज्ञात कीजिए।

Find the 28th term from the end of the AP 6, 9, 12, 15, 18, ..…, 102.

 

1. 7 से विभाज्य 3 अंकों की कितनी संख्याएं हैं?

How many 3-digit numbers are divisible by 7?

OR/अथवा

1. किसी GP के कुछ पदों का योग 315 है। इसका प्रथम पद 5 तथा सार्व अनुपात 2 है। इसके पदों की संख्या तथा अंतिम पद ज्ञात कीजिए।

The sum of some terms of a GP is 315. Its first term is 5 and the common ratio is 2. Find the number of its terms and the last term.

1. उस GP का सार्वअनुपात ज्ञात कीजिए जिसके अपरिमित पदों का योग 8 है और जिसका दूसरा पद 2 है।

Find the common ratio of a GP whose sum of infinite terms is 8 and its second term is 2.

 

3. निम्नलिखित प्रश्नों में से किसी एक प्रश्न का उत्तर दीजिए।

Answer any one out of the following questions.

 

1. यदि Z₁ = 2 + 8i और Z₂ = 1 – i, तो | Z₁/Z₂ | ज्ञात कीजिए।

If z₁ = 2 + 8i and z₂ = 1 – i, then find |z₁/z₂|.

 

1. मान लीजिए z = (2 – i)² + – 8, तो z को x + iy के रूप में इस प्रकार व्यक्त कीजिए कि x और y वास्तविक संख्याएँ हैं।

Suppose z = (2 – i)² + – 8, express z in the form of x + iy such that x and y are real numbers.

OR / अथवा

1. असमानता: x² + x -28 < 2 को हल करें।

Solve the inequality x² + x – 28 < 2.

 

1. असमानता: -1<4x+2<10 को हल करें।

Solve the inequality −1<4x+2

 

4. निम्नलिखित प्रश्नों में से किसी एक प्रश्न का उत्तर दीजिए।

Answer any one of the following question.

1. MISSISSIPPI में अक्षरों के कितने भिन्न क्रमचय में चार I एक साथ नहीं आते है?

In how many of the distinct permutations of the letters in MISSISSIPPI do the four I’s not come together?

1. 0 से 9 तक अंकों का उपयोग करके कितने 5 अंकीय टेलीफोन नंबर बनाए जा सकते हैं, यदि प्रत्येक संख्या 67 से शुरू होती है तो कोई अंक भी एक से अधिक बार नहीं आता है?

How many 5-digit telephone numbers can be constructed using the digits 0 to 9, if each number starts with 67 and no digit appears more than once?

OR / अथवा

1. 2 पुरूणों और 3 महिलाओं के समूह से 3 व्यक्तियों की एक समिति गठित की जानी है। यह कितने तरीकों से किया जा सकता है? इनमें से कितनी समितियों में 1 पुरूष और 2 महिलाएँ होंगी?

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

 

1. 52 पत्तों की एक गड्डी में से 5 पत्तों के संयोजनों की संख्या ज्ञात कीजिए, यदि प्रत्येक संयोजन में ठीक एक इक्का है।

Determine the number of 5 card combinations out of a deck of 52 cards, if there is exactly one ace in each combination.

 

5. निम्नलिखित प्रश्नों में से किसी एक प्रश्न का उत्तर दीजिए।

Answer any one out of the following questions.

 

सभी n ∈ N के लिए गणितीय आगमन के सिध्दांत का प्रयोग करके निम्नलिखित को सिध्द कीजिए।

1. 2 +2.2² +3.2³ + ……. + n. 2ⁿ = (n – 1) 2ⁿ⁺¹ + 2

Prove the following by using the principle of mathematical induction for all n ∈ N:

1.2 +2.2² +3.2³ + ……. + n. 2ⁿ = (n – 1) 2ⁿ⁺¹ + 2

 

1. n (n + 1) (n + 5) 3 का गुणज है

n (n + 1) (n + 5) is an multiple of 3

Or / अथवा

1. विस्तृत कीजिए/ Expand (x/3 + 2/y)⁴
2. 7¹⁰³ को 25 से विभाजित करने पर शेषफल ज्ञात कीजिए।

Find the remainder when 7¹⁰³ is divided by 25

 

1. संख्या (13)¹⁰ के अंतिम दो अंक ज्ञात कीजिए।

Find the last two digits of the number (13)¹⁰

 

6. निम्नलिखित प्रश्नों में से किसी एक प्रश्न का उत्तर दीजिए

Answer any one out of the following question?

1. एक टायर बनाने वाली कंपनी ने टायर बदलने से पहले तय की गई दूरी का रिकार्ड रखा। तालिका 1000 मामलों के परिणाम दिखाती है।

दूरी  (in km)	4000 से कम	4000 से 9000	9001 से 14000	14000 से अधिक
Frequency	20	210	325	445

यदि इस कंपनी से एक टायर खरीदा जाता है, तो इसकी क्या संभावना है कि

1. 4000 किमी की दूरी तय करने से पहले इसे बदलना होगा
2. यह 9000 किमी से अधिक चलेगा

• 4000 किमी और 14000 किमी के बीच दूरी तय करने के बाद इसे बदलने की आवश्यकता होगी

1. B) दो खिलाड़ी, संगीत और रश्मि, एक टेनिस मैच खेलते हैं। संगीत के मैच जीतने की संभावना 0.62 है। इसकी क्या संभावना है कि रश्मि मैच जीत जाएगी?
2. c) एक सिक्के को तीन बार उछाला जाता है, निम्नलिखित घटनाओं पर विचार करें।

P: कोई चित नहीं दिखता

Q: एक बार चित दिखता है औऱ

R: ‘कम से कम दो बार चित दिखाई देता है’।

जातें कि क्या वे परस्पर अनन्य और संपूर्ण घटनाओं का एक सेट बनाते हैं।

अथवा

1. निम्नलिखित आंकडों की सीमा औऱ सीमा के गुणांक का पता लगाएं।
2. 63, 89, 98, 125, 108, 117, 68
3. 43.5, 13.6, 18.6, 38.4, 61.4, 29.8
4. यदि आंकड़ो के एक सेट की सीमा और सबसे छोटा मान क्रमश:8 और 13.4 है, तो सबसे बड़ा मान ज्ञात करें।
5. एक शिक्षक ने विद्यार्थियों से रिकार्ड नोटबुक के 60 पृष्ठ पूरे करने को कहा। आठ विद्यार्थियों ने केवल 32, 35, 37, 30, 33, 36, 35 औऱ 37 पृष्ठ पूरे किए हैं। उनके द्वारा अभी तक पूर्ण किए जाने वाले पृष्ठों का मानक विचलन ज्ञात कीजिए।

1. A tire manufacturing company kept a record of the distance covered before a tire needed to be replaced. The table shows the results of 1000 cases.

Distance (in km)	Less than 4000	4000 to 9000	9001 to 14000	More than 14000
Frequency	20	210	325	445

If a tire is bought from this company, what is the probability that:

(i) Does it have to be substituted before 4000 km is covered?

(ii) it last more than 9000 km?

(iii) it will need to be replaced after it has covered somewhere between 4000 km

and 14000 km?

1. Two players, Sangeet and Rashmi, play a tennis match. The probability of Sangeet winning the match is 0.62. What is the probability that Rashmi will win the match?

 

The probability of Rashmi winning the match can be determined by subtracting the probability of Sangeet winning from 1, assuming there are only two possible outcomes (Sangeet wins or Rashmi wins), and the probabilities sum to 1.

 

1. c) A coin is tossed three times, consider the following events.

P: ‘No head appears’,

Q: ‘Exactly one head appears’ and

R: ‘At Least two heads appear’.

Check whether they form a set of mutually exclusive and exhaustive events.

Chapter 19

OR

1. a) Find the range and coefficient of the range of the following data.

(i) 63, 89, 98, 125, 79, 108, 117, 68

(ii) 43.5, 13.6, 18.9, 38.4, 61.4, 29.8

36. b) If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then

Find the largest value.

1. c) A teacher asked the students to complete 60 pages of a record notebook. Eight

Students have completed only 32, 35, 37, 30, 33, 36, 35 and 37 pages. Find the

The standard deviation of the pages is yet to be completed by them.

 

नोट- पीडीएफ खरीदने के बाद आपको इन सभी सवालों के जवाब मिल जाएंगे। NIOS TMA SOLVED HANDWRITTEN PDF खरीदने के लिए अभी (ऊपर नीले बटन) पर क्लिक करें। 

Most important facts related to TMA:

➛ It is based on the latest session 2023-24 of nios.

➛ The last date to submit this assignment is 31st January 2024 (for the March-April exam). (The submission date is also extended by the board as per the time)

➛ The last date to submit this assignment is 31st July 2024 (for the October-November exam).

➛ NIOS students should submit the assignment file (handwritten e-PDF) on their dashboard portal.

➛ The weightage mark of this assignment is 20% theory. The marks obtained in it increase your chances of getting a high percentage.

➛ All assignments are prepared by our well-trained and experienced professional teachers.

➛ The solutions are clear, and there are no errors in them, all the answers to the question are accurate, most reliable, factual, and written more than the word limit which can get maximum marks.

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➛ All assignments are available in e-PDF format handwritten which is easily submittable.

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How to create an NIOS assignment file:

➦ For practical files, use one side-lined page of page size A4.

➦ Avoid writing on white pages.

➦ You can also use a black and blue ballpoint pen or sketch pen as per your wish.

➦ Write the answers clearly which will look good in the eyes of the teacher.

➦ Do not write rough.

➦ First, compile all the answers to the question.

 

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