A) 2
B) 3
C) 4
D) 5
Correct Answer: C
Solution :
\[f(x)\,=\left\{ \begin{matrix} x-\pi ; & \pi <x\le \frac{3\pi }{2} \\ 2\pi -x; & \frac{3\pi }{2}<x<2\pi \\ \end{matrix} \right.\] Clearly, required area = area of shaded portion of \[\Delta ABC=\frac{1}{2}\times \pi \,=\frac{\pi }{2}=\frac{{{\pi }^{2}}}{4}\,=\frac{{{\pi }^{2}}}{k}\] \[\therefore \] on comparing, we get k = 4You need to login to perform this action.
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