For the function f(x)=(\cos x)-x+1, x \in \mathbb{R}, between the following two statements (S1) f(x)=0 for only one value of x is [0, \pi]. (S2) {\f}( {\x}) is decreasing in [0, \frac{\pi}{2}] and increasing in [\frac{\pi}{2}, \pi]. [8 Apr 2024 Shift 1]

Correct Answer is : Only (S1) is correct

Both (S1) and (S2) are incorrect

JEE Main 8 Apr 2024 Shift 1 Solved Paper

Section: Mathematics

Question : 17 of 90

Marks: +1, -0

For the function f(x)=(cos‌x)−x+1,x∈ℝ, between the following two statements (S1) f(x)=0 for only one value of x is [0,π].
(S2) f(x) is decreasing in [0,‌

] and increasing in [‌

,π].

[8 Apr 2024 Shift 1]

Both (S1) and (S2) are correct
Only (S1) is correct
Both (S1) and (S2) are incorrect
Only (S2) is correct

Validate

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