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**NIOS CLASS 12TH Mathematics (311) SOLVED TMA In English Medium PDF SESSION 2022 - 23**

This platform provides Nios **Mathematics (311)** TMA Solved with project work for class 12th. Here you can Get Nios Solved Tutor Mark Assignment (TMA) in Good Quality which helps to achieve More and More Marks. Nios Assignment’s Answer Prepared by well Skilled and Experienced Teachers.

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**Salient Features:**

➛ This Nios Tutor Marked Assignment (TMA) is Only valid for 2022-23 Academic Session.

➛ which is Applicable for March/April & October/November 2023 Examination.

➛ Best Answer in PDF Format of NIOS TMA.

➛ Assignments are prepared by well experienced and Nios Experts.

➛ Answers are available in English Medium.

➛ We guide you to prepare good assignment file.

➛ All Assignments are in Computerized and printable format.

➛ After payment instantly downloaded from dashboard or Email.

**Note -**

➛ Total six questions are given by Nios in TMA. All questions have 2 options out of which one has to be selected. In this PDF, we have given you the answer of one option which is better so that your marks will be good.

➛ You have to write the question and answer on the A4 size sheet as given in this PDF.

➛ After writing, the page has to be scanned and made a PDF and upload on the portal of NIOS.

**TMA Questions**

**Q1. Answer any one of the following questions in about 40-60 words:**

(i) If the ∠ A, ∠B and ∠C of a triangle are in an arithmetic progression, and if a, b and c denote the lengths of the sides opposite to ∠ A, ∠B and ∠C respectively. Then, find the value of the expression a/c𝑠𝑖𝑛2𝐶 +a/c𝑠𝑖𝑛2𝐴.

(ii) Each side of an equilateral triangle subtends an angle of 60° at the top of a towerof height h meter located at the centre of the triangle. If ‘a’ is the length of side ofthe triangle, then establish the relation between ‘a’ and ‘h’.

**Q2. Answer any one of the following in about 40-60 words:**

(i) Given that p and q are roots of the equation x2 – 2x + A = 0 and r and s be rootsof the equation x2 – 18 x + B = 0. If p < q < r < s and are in A.P. Then find A andB.

(ii) In a class of 100 students, 55 students have passed in Mathematics, and 67students have passed in Physics. If no student fails, then identify the number ofstudents passed in Physics only.

**Q3. Answer any one of the following questions in about 40-60 words:**

(i) If a, b, c in A.P. and x =∑∞n=0 an, y =∑∞n=0 bn, z = ∑∞n=0cnthenfind the relation between x, y and z.

(ii) Calculate the greatest integer which divides 101100 – 1.

**Q4. Answer any one of the following questions in about 40-60 words:**

(i) How many five-letter words containing 3 vowels and 2 consonants can be formedusing the letters of the word 'EQUATION' so that the two consonants occurtogether?

(ii) Two students solve a quadratic equation x2+bx+c = 0. One student solves theequation by taking wrong value of b and gets the roots as 2 and 5, while secondstudent solves it by taking wrong value of c and gets the roots as – 3 and – 4. Findthe correct roots of the equation.

**Q5. Answer any one of the following questions in about 40-60 words.**

(i) Find the sum of the series1+ (1 + a)/2! + (1 + a + a2)/3! + (1 + a + a2 + a3)/4!... … … … …

(ii) A survey was conducted in 1000 families of a city, from which the followinginformation was obtained.

i. 40% of families read newspaper A.

ii. 20% of families read newspaper B.

iii. 10% of families read newspaper C.

iv. 5% of families study both newspaper A and newspaper B.

v. 3% of families study both newspaper B and newspaper C.

vi. 4% of families study newspaper A and newspaper C.

vii. 2% of the families read all the three newspapers.

On the basis of the above information, identify the number of families who readonly newspaper A.

**Q6. Prepare any one of the projects out of two given below.**

(i) 10 students appeared in a unit test of a school. The maximum marks of the testwere 20. Collect the marks obtained by the students. On perusal of the mark sheet,it was found that one question was out of syllabus. It was decided that 5 bonusmarks would be given to each student for each wrong question. Compare thevariance and standard deviation in both the cases.

(ii) Puneet tosses two dice randomly. The number appearing on the faces of both thedice are different. Calculate the probability of the following event if -

i. The sum of the numbers on the dice is 4.

ii. The sum of the numbers on the dice is 8.

iii. The sum of the numbers on the dice is 12.

iv. The sum of the numbers on the dice is a multiple of 4.

v. The sum of the numbers on the dice is an odd number.

vi. The sum of the numbers on the dice is a prime number.

NOTE- You will get the answers of all these questions after purchasing the PDF.

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**Most Important Facts relating to TMA:**

➛ This assignment solution is based on the latest session 2022-23.

➛ The Last date of submission of this assignment is 31 January 2023 (For April examination).

➛ The Last date of submission of this assignment is 31 August 2023 (For Oct. examination).

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