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Definite Integration question

2024 · 27 Jan · Shift 2 · Q49

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JEE Main
Mathematics
Definite Integration
2024 · 27 Jan · Shift 2 · Q49

Definite Integration question

2024 · 27 Jan · Shift 2 · Q49

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

For

0 \lt \mathrm{a} \lt 1

, the value of the integral

\int\limits_0^\pi \frac{\mathrm{d} x}{1-2 \mathrm{a} \cos x+\mathrm{a}^2}

is :

A
$\frac{\pi^2}{\pi+a^2}$
B
$\frac{\pi^2}{\pi-a^2}$
C
$\frac{\pi}{1-\mathrm{a}^2}$
D
$\frac{\pi}{1+\mathrm{a}^2}$

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