JEE Main 202427 Jan, Evening shiftMathematicsMediumIntegral Calculus369× since 2002For 0<a<10 < \mathrm{a} < 10<a<1, the value of the integral \int_\limits0^\pi \frac{\mathrm{d} x}{1-2 \mathrm{a} \cos x+\mathrm{a}^2} is :AOption A. π2π+a2\frac{\pi^2}{\pi+a^2}π+a2π2BOption B. π2π−a2\frac{\pi^2}{\pi-a^2}π−a2π2COption C. π1−a2\frac{\pi}{1-\mathrm{a}^2}1−a2πDOption D. π1+a2\frac{\pi}{1+\mathrm{a}^2}1+a2πCheckSkip · show solution
