Question 36 - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1) - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Dec. 16, 2024 by Teachoo

If tan ⁻¹ x = y, then:

(a) −1 < y < 1 (b) (-π)/2 ≤ y ≤ π/2

(c) (-π)/2 < y < π/2 (d) y ∈ {(-π)/2,π/2}

Ques 36 (MCQ) - If tan-1 x = y, then: - Class 12 Sample Paper [Video] - CBSE Class 12 Sample Paper for 2022 Boards (MCQ Based - for Term 1)

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Question 36 If tan−1 x = y, then: (a) −1 < y < 1 (b) (−𝜋)/2 ≤ y ≤ 𝜋/2 (c) (−𝜋)/2 < y < 𝜋/2 (d) y ∈ {(−𝜋)/2,𝜋/2}y = tan−1 x We know that tan x is not defined at x = (−𝜋)/2, and x = 𝜋/2 Thus, Range of tan−1 𝑥 excludes (−𝜋)/2 and 𝜋/2 So, the correct answer is (C)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo

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