Mathematics · 2026
JEE Main · 23 January 2026, Shift 1 · Q13
Let α and β respectively be the maximum and the minimum values of the function f(θ)=4( sin^4((7 π)/2-θ)+ sin^4(11 π+θ))-2( sin^6((3 π)/2-θ)+ sin^6(9…
Let $\displaystyle \alpha$ and $\displaystyle \beta$ respectively be the maximum and the minimum values of the function $\displaystyle f(\theta)=4\left(\sin ^4\left(\frac{7 \pi}{2}-\theta\right)+\sin ^4(11 \pi+\theta)\right)-2\left(\sin ^6\left(\frac{3 \pi}{2}-\theta\right)+\sin ^6(9 \pi-\theta)\right), \theta \in \mathbf{R}$.
Then $\displaystyle \alpha+2 \beta$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(4)
$\displaystyle 5$
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.