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For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer?.

Solutions for For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.

Here you can find the meaning of For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer?, a detailed solution for For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? has been provided alongside types of For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice For every twice differentiable function f : R → [–2, 2] with (f(0))2 + (f '(0))2 = 85, which of the followingstatement(s) is (are) TRUE ?a)There exist r, s ∈ R, where r < s, such that f is one-one on the open interval (r, s)b)There exists x0 ∈ (–4, 0) such that |f '(x0)| ≤ 1c)d)There exist α ∈ (–4, 4) such that f(α) + f '(α) = 0 and f '(α) ≠ 0Correct answer is option 'A,B,D'. Can you explain this answer? tests, examples and also practice JEE tests.