IITM BS Question 12 - Week 9 Practice

Prasnya

IITM BS Question 12 - Week 9 Practice | Prasnya

00:00

Q12Comprehension5 Marks21 Dec 2025

Passage

Based on the above data, answer the given subquestions. For any function

g: D \to \mathbb{R}

defined on a domain

D \subset \mathbb{R}^2

, the level set of

g

z_0 \in \mathbb{R}

, denoted by

L_{z_0}(g)

, is defined as the set of points in

\mathbb{R}^2

that are mapped to

z_0

, i.e.,

L_{z_0}(g) = \{(x, y) \in D \mid g(x, y) = z_0\}

Consider the following statements. S1: The function f: D -> R is injective (one-to-one). S2: The set L_{c}(f) contains exactly one element, for all c in Image(f). Which of the following is true?

Q12

00:00

21 Dec 2025

Mathematics 2 · Week 9

Q12.Consider the following statements. S1: The function f: D -> R is injective (one-to-one). S2: The set L_{c}(f) contains exactly one element, for all c in Image(f). Which of the following is true?@passage

Save

Read

Check

Details