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Functions question

2024 · 8 Apr · Shift 1 · Q52

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JEE Main
Mathematics
Functions
2024 · 8 Apr · Shift 1 · Q52

Functions question

2024 · 8 Apr · Shift 1 · Q52

JEE MainMathematicsFunctionsNumerical+4 / −1

If the range of

f(\theta)=\frac{\sin ^4 \theta+3 \cos ^2 \theta}{\sin ^4 \theta+\cos ^2 \theta}, \theta \in \mathbb{R}

is

[\alpha, \beta]

, then the sum of the infinite G.P., whose first term is 64 and the common ratio is

\frac{\alpha}{\beta}

, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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