NIOS Solved TMA Class – 12: Mathematics

NIOS Solved TMA 2023 Class 12 Maths

The National Institute of Open Schooling(NIOS) every year ask students to submit TMA online. Mathematics is also one of them. If you will be able to submit your assignment on time, you will be awarded with 20 marks. This marks will be separately visible to your report card. NIOS TMA help students to score high marks. It is not available for stream other then BLOCK 1 Stream 1. If you have applied in NIOS on demand exam then you do not need to submit the assignment.

Even after submitting assignment, students have appear for exam in full marks. In case of mathematics your paper would be of 100 marks.

Please note:- You have to pass the theory exam separately. NIOS TMA help you score good marks as well as reduce the passing threshold.

NIOS Solved Assignment 2023 Maths

Before start writing your NIOS TMA make sure to have all the necessary details. We recommend you sit with your NIOS books so that you can also take the reference from there. Also please make sure to not copy the answer as it is. The below NIOS assignment solution is only for reference purposes. You can write solutions in your own language.

Mathematics (311)
Tutor Marked Assignment

Max. Marks: 20

Note:

All questions are compulsory. The marks allowed for each question are given at same place
Write your name enrollment numbers, AI name, and subject on the top of the first page of the answer sheet.

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 $$\frac{a}{c} sin2C + \frac{c}{a} sin2A$$

NIOS TMA 2023 Class 12 Maths Question 1 a

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.

Calculate the greatest integer which divides $$101^{100} – 1$$.

Two students solve a quadratic equation \[x^{2}+bx+c = 0\]. 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.

NIOS TMA 2023 Class 12 Maths Question 4 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.

NIOS TMA 2023 Class 12 Maths Question 5b

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.