NIOS CLASS 12TH Mathematics (311) SOLVED TMA In English Medium PDF SESSION 2025 - 26

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March/April & October/November 2026 Examinations

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Question with Answer:

Q 1. Answer any one of the following questions.

(B) Check whether the function is even? Find its domain.

1. Answer any one of the following questions.

(A) A coin has two faces i.e. head and tail. Ramesh tossed a coin three times. Find the probability of getting head and tail alternatively.
(i) If the first toss is a Head.
(ii) If the first toss is a Tail.

1. Answer any one of the following questions.
   (B) Find the sum of the following series upto given number.

2. Answer any one of the following questions.
   (A) (i) Prove that tan(60 deg + A) * tan(60 deg - A) = (2cos 2A + 1)/(2cos 2A - 1)
   (ii) Find the general value of @ satisfying tan theta + tan 2theta + tan 3theta = 0

3. Answer any one of the following questions.
   (A) The following is a frequency distribution of the monthly data usage (in GB) of 800 internet users recorded by a telecom company. Based on the given table, determine the following:
   (i) Upper limit of the fifth class.
   (ii) Lower limit of the eighth class.

(iii)Size of the class interval.
(iv) Frequency of the fourth class.
(v) Cumulative frequency of the sixth class.
(vi) Percentage of users who used 100 GB or more.
(vii) The median of the data

1. Prepare any one project as given below. (A) (I) A carpenter wants to cut three lengths from a single piece of cardboard of length 101cm. The second length is 11 cm longer than the shortest and the third length is thrice the shortest. What are the possible lengths of the shortest piece, if the third piece is at least 8 cm longer than the second?

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• Submission deadline:

• 31 January 2026 (For March/April Exam)

• 31 August 2026 (For October/November Exam)

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