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Maths I · Quadratic functions

BSMA1001 · 16 questions · 57 marks · 7 papers

Answer key

Indian Institute of Technology Madras

BS Degree Programme · Examination & Study Paper

BSMA1001 · Mathematics for Data Science I

Quadratic functions

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.

Quiz 1 · 26 Oct 2025 (AN)Quiz 1

Useful Reference Data for this Paper
Q1MCQ4 Marks·Choose one option
Asked 4 times Key ↓
1. A
2. B
3. C
4. D
Q2NAT4 Marks·Write the number
Asked 4 times Key ↓
Your answer:

End Term · 31 Aug 2025 (FN)End Term

Q3MSQ3 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following functions have graphs as in Figure 2?
1. A
2. B
3. C
4. D

Qualifier · May 2024Qualifier

Q4MSQ4 Marks·Choose all correct options
Key ↓
Consider the parabola y = x² + 4x + 12. Which of the following option(s) are true?
1. AThe co-ordinates of vertex is (−8, 2).
2. BThe given equation attains it minima at x = −2.
3. Cy-intercept of parabola is 12.
4. DThe minimum value for the given equation is 8
Q5MCQ4 Marks·Choose one option
Key ↓
1. AIf b² − 4ac > 0 and a perfect square then there exists a rational root of the quadratic equation.
2. BIf b² − 4ac > 0 and not a perfect square then there exists a rational root of the quadratic equation.
3. CIf b² − 4ac < 0 and a perfect square then there exists a rational root of the quadratic equation.
4. DIf b² − 4ac < 0 and not a perfect square then there exists a rational root of the quadratic equation.

Qualifier · January 2024Qualifier

Q6MSQ4 Marks·Choose all correct options
Key ↓
Which of the following options is/are true?
1. A
2. B
3. C
4. D
Read the passage below, then answer Q7–Q8
Q7NAT2.5 Marks·Write the number
Key ↓
Calculate the value of A
Your answer:
Q8NAT2.5 Marks·Write the number
Key ↓
Calculate the value of B
Your answer:
Q9MCQ4 Marks·Choose one option
Key ↓
Ram and Shyam want to solve a quadratic equation. Ram made a mistake in writing down the constant term and ended up in getting roots as 3 and 4. Shyam made a mistake in writing down the coefficient of x and got the roots as 2 and 3. Consider the leading coefficient to be 1 in all cases. The correct roots of the quadratic equation are:
1. A1 and 5
2. B2 and 6
3. C1 and 6
4. D2 and 5

Qualifier · September 2023Qualifier

Q10MCQ4 Marks·Choose one option
Key ↓
1. A
2. B
3. C
4. D
Q11NAT4 Marks·Write the number
Asked 2 times Key ↓
Your answer:

Qualifier · May 2023Qualifier

Q12NAT3 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Read the passage below, then answer Q13–Q14
Q13NAT2 Marks·Write the number
Asked 2 times Key ↓
Find the quantity of the raw material such that the company has the maximum profit.
Your answer:
Q14NAT2 Marks·Write the number
Key ↓
Find the quantity of the raw material (x > 1) such that the company has no profit.
Your answer:

Qualifier · January 2023Qualifier

Q15NAT5 Marks·Write the number
Asked 4 times Key ↓
Your answer:
Q16MSQ5 Marks·Choose all correct options
Asked 2 times Key ↓
Which of the following functions may represent the graph given in Figure 2?
1. Af(x) = x² − 8x + 12
2. Bf(x) = x² + 10x − 21
3. Cf(x) = 2x² + 8x + 4
4. Df(x) = x² − 6x + 4

Official Key

Master Answer Key & Explanations

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

Reveal Key

Q1A

Q213 to 14

Q3A, D

Q4B, C, D

Q5A

Q6C, D

Q72

Q84

Q9C

Q10A

Q11165

Q1217

Q132

Q143

Q156

Q16A, D

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.