A) 3
B) 6
C) 12
D) None of these
Correct Answer: B
Solution :
\[f\,(\pi /2)=3\]. Since \[f(x)\] is continuous at \[x=\pi /2\] \[\Rightarrow \,\underset{x\to \pi /2}{\mathop{\lim }}\,\,\left( \frac{k\cos x}{\pi -2x} \right)=f\left( \frac{\pi }{2} \right)\,\,\Rightarrow \,\,\frac{k}{2}=3\,\,\Rightarrow \,\,k=6.\]You need to login to perform this action.
You will be redirected in
3 sec