If the equation cos^4 ⁡ + sin^4 ⁡ + =0has real solutions for , then lies in the interval

Question

Accepted Answer

Correct answer: A. (a)JEE Main 2020 sin^4 ⁡ + cos^4 ⁡ =- ⇒1-2 sin^2 ⁡ cos^2 ⁡ =- ⇒ = ( sin ⁡2 )^22-1 ⇒ as sin^2 ⁡2 ∈ [0 ,1 ] ⇒ ∈(-1 , -12)

$If the equation cos^{4} θ + sin^{4} θ + λ = 0 has real solutions for θ, then λ lies in the interval$