JEE Main 2024 (8 Apr, Shift 1) Maths Q7: Monotonicity

Question

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 $x$ in $[0,\pi]$.
(S2) $f(x)$ is decreasing in $\left[0,\frac{\pi}{2}\right]$ and increasing in $\left[\frac{\pi}{2},\pi\right]$.

Accepted Answer

Option 2: Only (S1) is correct.

Answer

Both (S1) and (S2) are correct.

Answer

Only (S1) is correct.

Answer

Only (S2) is correct.

Answer

Both (S1) and (S2) are incorrect.

JEE Main 8 April 2024, Shift 1, Maths Q7

Same idea in other shifts