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JEE Main Math Class 12 Application of Derivatives Part 3 Questions

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Question : 28

Total: 40

Let f:[2,4]→ℝ be a differentiable function such that (xlogex)f′(x)+(logex)f(x)+f(x)≥1,x∈[2,4] with f(2)=‌

. Consider the following two statements :
(A) : f(x)≤1, for all x∈[2,4]
(B) : f(x)≥‌

, for all x∈[2,4]
Then,

[11-Apr-2023 shift 1]

Only statement (B) is true
Only statement (A) is true
Neither statement (A) nor statement (B) is true
Both the statements (A) and (B) are true

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