Let S=\{\theta \in(0,2 \pi): 7 \cos ^2 \theta-3 \sin ^2 \theta-2 \cos ^2 2 \theta=2\}. Then, the sum of roots of all the equations x^2-2(\tan ^2 \theta+\cot ^2 \theta) x+6 \sin ^2 \theta=0, \theta \in S, is _______. [29-Jul-2022-Shift-1]

JEE Mains 29-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let S={θ∈(0,2π):7cos2θ−3sin2θ−2cos22θ=2}. Then, the sum of roots of all the equations x2−2(tan2θ+cot2θ)x+6sin2θ=0,θ∈S, is _______.

[29-Jul-2022-Shift-1]

Go to Question:

Prev Question

Next Question