If \cot \alpha=1 and \sec \beta=-\frac{5}{3}, where \pi< \alpha< \frac{3 \pi}{2} and \frac{\pi}{2}< \beta< \pi, then the value of \tan (\alpha+\beta) and the quadrant in which \alpha+\beta lies, respectively are : [28-Jun-2022-Shift-2]

Correct Answer is : −17 and IV th quadrant

-\frac{1}{7} and IV { }^{\text{th }} quadrant

7 and {\I}^{\text{st }} quadrant

-7 and I V^{\text{th }} quadrant

\frac{1}{7} and I { }^{\text{st }} quadrant

JEE Main 28 June 2022 Shift 2 Solved Paper

Section: Mathematics

Question : 20 of 90

Marks: +1, -0

If cot‌α=1 and sec‌β=−‌

, where π<α<‌

3π

and ‌

<β<π, then the value of tan(α+β) and the quadrant in which α+β lies, respectively are :

[28-Jun-2022-Shift-2]

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