NIOS Class 12th Maths (311) English Medium Solved Assignment (TMA) 2022-23 | Nios 12th Maths Solved Tma

 Maths (311)

Tutor Marked Assignment

20% Marks Of Theory

PDF is Paid

Note:- If you want Solved Assignment PDF and Handwritten Scanned Assignment Click On WhatsApp Button

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

(a) 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/c sin2C+ C/asin2A.

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

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

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

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

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

(a) 

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

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

(a) How many five-letter words containing 3 vowels and 2 consonants can be formed using the letters of the word 'EQUATION' so that the two consonants occur together?

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

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

(a) Find the sum of the series

(b) A survey was conducted in 1000 families of a city, from which the following information 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 read only newspaper A.

6. Prepare any one of the project out of two given below.

(a) 10 students appeared in a unit test of a school. The maximum marks of the test were 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 bonus marks would be given to each student for each wrong question. Compare the variance and standard deviation in both the cases.

(b) Puneet tosses two dice randomly. The number appearing on the faces of both the dice 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.