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Maths I · Derivatives, tangents & extrema

BSMA1001 · 16 questions · 44 marks · 5 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1001 · Mathematics for Data Science I

Derivatives, tangents & extrema

Official Paper

Examination Instructions & Guidelines

Solve on notebook/paper first before checking solutions.
MCQ: Exactly 1 option is correct. Negative marking applies.
MSQ: One or more options correct. Select all to score.
NAT: Numerical response. No negative marking.
Scientific calculator allowed for all calculations.
Official answer key is sealed at the end of this sheet.

End Term · 31 Aug 2025 (FN)End Term

Read the passage below, then answer Q1
Q1NAT3 Marks·Write the number
Asked 2 times Key ↓
Your answer:

Quiz 2 · 3 Aug 2025 (AN)Quiz 2

Useful Reference Data for this Paper
Read the passage below, then answer Q2
Q2NAT3 Marks·Write the number
Key ↓
Suppose m, n are two solutions of the equation f(x) = 3 such that m < n then find the value of n − m.
Your answer:
Read the passage below, then answer Q3
Q3MSQ3 Marks·Choose all correct options
Asked 4 times Key ↓
If y = mx + c is the equation of the tangent of f at x = 3 then choose the correct options.
1. A
2. B
3. C
4. D

End Term · 13 Apr 2025 (FN)End Term

Q4NAT3 Marks·Write the number
Key ↓
Your answer:
Read the passage below, then answer Q5
Q5NAT2 Marks·Write the number
Asked 6 times Key ↓
Your answer:
Read the passage below, then answer Q6
Based on the above data, answer the given subquestions.
Q6NAT3 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Read the passage below, then answer Q7–Q8
Q7NAT3 Marks·Write the number
Key ↓
How much time(in sec) the arrow will take to reach the ground?
Your answer:
Q8MSQ4 Marks·Choose all correct options
Asked 4 times Key ↓
Which of the following options is/are true ?
1. A
2. B
3. C
4. D

End Term · 13 Apr 2025 (AN)End Term

Q9MSQ3 Marks·Choose all correct options
Asked 6 times Key ↓
1. A
2. B
3. C
4. D
Read the passage below, then answer Q10–Q12
Q10MCQ3 Marks·Choose one option
Asked 4 times Key ↓
1. ATRUE
2. BFALSE
Q11MCQ3 Marks·Choose one option
Asked 6 times Key ↓
1. ATRUE
2. BFALSE
Q12MCQ3 Marks·Choose one option
Asked 6 times Key ↓
1. ATRUE
2. BFALSE

End Term · 22 Dec 2024 (FN)End Term

Read the passage below, then answer Q13–Q14
Q13NAT2 Marks·Write the number
Asked 6 times Key ↓
Your answer:
Q14MSQ2 Marks·Choose all correct options
Asked 6 times Key ↓
Which of the following option(s) is(are) correct?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q15–Q16
Based on the above data, answer the given subquestions.
Q15NAT2 Marks·Write the number
Key ↓
Your answer:
Q16NAT2 Marks·Write the number
Asked 2 times Key ↓
Your answer:

Official Key

Master Answer Key & Explanations

Official answer keys from IIT Madras BS past papers. Click any question to review.

Reveal Key

Q111

Q254

Q3A, C

Q4120

Q5-2

Q6-6

Q74

Q8A, C

Q9A, D

Q10A

Q11B

Q12A

Q132

Q14B, C

Q151

Q1614

Questions and answer keys are reproduced from the official IIT Madras BS papers. Topics and repeated question types are BTechi’s own grouping. BTechi is not affiliated with IIT Madras.