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Trigonometric Functions And Equations

JEE Advanced 2022 Paper 1 Online

MCQ+3 / -12022

Consider the following lists :



.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
.tg th{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
font-weight:normal;overflow:hidden;padding:10px 5px;word-break:normal;}
.tg .tg-amwm{font-weight:bold;text-align:center;vertical-align:top}
.tg .tg-0lax{text-align:left;vertical-align:top}






























List-I List-II
(I) \(\left\{x \in\left[-\frac{2 \pi}{3}, \frac{2 \pi}{3}\right]: \cos x+\sin x=1\right\}\) (P) has two elements
(II) \(\left\{x \in\left[-\frac{5 \pi}{18}, \frac{5 \pi}{18}\right]: \sqrt{3} \tan 3 x=1\right\}\) (Q) has three elements
(III) \(\left\{x \in\left[-\frac{6 \pi}{5}, \frac{6 \pi}{5}\right]: 2 \cos (2 x)=\sqrt{3}\right\}\) (R) has four elements
(IV) \(\left\{x \in\left[-\frac{7 \pi}{4}, \frac{7 \pi}{4}\right]: \sin x-\cos x=1\right\}\) (S) has five elements
(T) has six elements


The correct option is:

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