Ap EapcetTrigonometric EquationsAP EAPCET 2024 - 21th May Morning ShiftMCQ+1 / -02024For $a \in R-\{0\}$, if $a \cos x+a \sin x+a=2 k+1$ has a solution, then $k$ lies in the intervalA$\left[\frac{a-1-\sqrt{2} a}{2}, \frac{a-1+\sqrt{2} a}{2}\right]$B$\left[\frac{a+1-\sqrt{2}}{2}, \frac{a+1+\sqrt{2}}{2}\right]$C$\left[\frac{a-1-\sqrt{2}}{2}, \frac{a-1+\sqrt{2}}{2}\right]$D$\left[-\frac{\left(\sqrt{2 a^2+2 a+1}+1\right)}{2}, \frac{\left(\sqrt{2 a^2+2 a+1}-1\right)}{2}\right]$Check AnswerClear SelectionReveal AnswerShow Explanation