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May 2024 term · Mathematics for Electronics I · MA1101

Maths for Electronics 1 End Term: 1 September 2024 (May 2024 term)

The IIT Madras BS Mathematics for Electronics I (Maths for Electronics 1) End Term paper sat on 1 Sept 2024, in the May 2024 term: 15 questions for 40 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
15
Marks
40
Duration
180 min
Numerical
7
MCQ
5
MSQ
3
Take as mock testPractise with answers

Updated

Official paper: IIT M ES FOUNDATION FN EXAM QEF1 01 Sep 2024 · No negative marking.

Question 1

+3 marksNumerical answer

Let A be the area of the region between the curves y = 4 − x² and y = 6 − 2x in the interval [0, 1]. Find the value of 3A.

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Correct answer: 4

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Question 2

+3 marksNumerical answer
Show answer

Correct answer: -1

Question 2 on its own page

Question 3

+3 marksNumerical answer
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Correct answer: 1

Question 3 on its own page

Question 4

+3 marksOne correct option
  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C
Question 4 on its own page

Question 5

+3 marksOne or more correct options

Which of the following option(s) is (are) correct?

Select all that apply.

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answers

  • A
  • D
Question 5 on its own page

Question 6

+3 marksOne or more correct options

Based on the above data, answer the given subquestions.

Which of the following option(s) is (are) true?

Select all that apply.

  1. A

    The sequence is convergent.

  2. B

    The sequence is non-increasing.

  3. C

    The sequence is not bounded above.

  4. D

    The sequence is increasing.

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Correct answers

  • A

    The sequence is convergent.

  • B

    The sequence is non-increasing.

Question 6 on its own page

Question 7

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the limit of the sequence {an}.

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Correct answer: 3

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Question 8

+3 marksOne or more correct options

Based on the above data, answer the given subquestions.

Which of the following options is (are) correct?

Select all that apply.

  1. A

    f(2) = 3

  2. B

    f(−2) = −3

  3. C

    f(0) = 0

  4. D

    f(−1) = 0

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Correct answers

  • A

    f(2) = 3

  • D

    f(−1) = 0

Question 8 on its own page

Question 9

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Find the value of 6a − 3b.

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Correct answer: 2

Question 9 on its own page

Question 10

+2 marksOne correct option

Consider a line segment y = x tan α.
Based on the above data, answer the given subquestions.

Which of the following is the length of a line segment between x = 1 and x = 5?

  1. A

    sec² α

  2. B

    5 sec α

  3. C

    4 sec α

  4. D

    4 sec² α

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Correct answer

  • C

    4 sec α

Question 10 on its own page

Question 11

+3 marksOne correct option

Consider a line segment y = x tan α.
Based on the above data, answer the given subquestions.

Which of the following is the solid volume generated by revolving the line segment around the x−axis between x = 1 and x = 5?

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • B
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Question 12

+2 marksOne correct option

Based on the above data, answer the given subquestions.

Which of the following options is true?

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • B
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Question 13

+3 marksNumerical answer

Based on the above data, answer the given subquestions.

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Correct answer: 0

Question 13 on its own page

Question 14

+3 marksOne correct option

Based on the above data, answer the given subquestions.

Let the time constant RC = 1. Which plot represents v(t) correctly?

  1. A
  2. B
  3. C
  4. D
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Correct answer

  • B
Question 14 on its own page

Question 15

+2 marksNumerical answer

Based on the above data, answer the given subquestions.

Using the initial condition v(0) = 0, find the value of A in the correct graph for v(t).

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Correct answer: -20

Question 15 on its own page