Let S= \{ \sin ^2 2 \theta: ( \sin ^4 \theta+\cos ^4 \theta) x^2+( \sin 2 \theta) x+. ( \sin ^6 \theta+\cos ^6 \theta) =0 has real roots \}. If \alpha and \beta be the smallest and largest elements of the set S, respectively, then 3 ((\alpha-2)^2+(\beta-1)^2) equals..... [4 Apr 2024 Shift 2]

JEE Main 4 Apr 2024 Shift 2 Solved Paper

Section: Mathematics

Question : 21 of 90

Marks: +1, -0

Let S={sin‌22θ:(sin‌4θ+cos4θ)x2+(sin‌2θ)x+. (sin‌6θ+cos6θ)=0 has real roots }. If α and β be the smallest and largest elements of the set S, respectively, then 3((α−2)2+(β−1)2) equals.....

[4 Apr 2024 Shift 2]

Your Answer:

Validate

Go to Question:

Prev Question

Next Question