IITM BS Question 11 - Week 10 Practice

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IITM BS Question 11 - Week 10 Practice | Prasnya

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Q11Comprehension8 Marks21 Dec 2025

Passage

Based on the above data, answer the given subquestions. Consider the function

f: \mathbb{R}^2 \to \mathbb{R}

defined by

f(x, y) = \frac{1}{1 + x^2 + y^2}

, for all

(x, y) \in \mathbb{R}^2

Let L_{(x, y)}(v_1, v_2) denote the tangent line to the graph of f at the point

(x, y)

and in the direction (v_1, v_2). Choose all the correct statements from the following.

Q11

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21 Dec 2025

Mathematics 2 · Week 10

Q11.Let L_{(x, y)}(v_1, v_2) denote the tangent line to the graph of f at the point

(x, y)

and in the direction (v_1, v_2). Choose all the correct statements from the following.@passage

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