If 2 \sin ^3 x+ \sin 2 x \cos x+4 \sin x-4=0 has exactly 3 solutions in the interval [0, \frac{ {\n} \pi}{2}] , {\n} \in {\N}, then the roots of the equation x^2+n x+(n-3)=0 belong to : [30-Jan-2024 Shift 1]

(- {\sqrt{17}}/{2}, {\sqrt{17}}/{2})

JEE Main 30-Jan-2024 Shift 1 Solved Paper

Section: Mathematics

Question : 19 of 90

Marks: +1, -0

If 2sin‌3x+sin‌2x‌cos‌x+4sin‌x−4=0 has exactly 3 solutions in the interval [0,‌

nπ

],n∈N, then the roots of the equation x2+nx+(n−3)=0 belong to :

[30-Jan-2024 Shift 1]

Go to Question:

Prev Question

Next Question