The curves \( C_{1}: y_{1}=1-\cos x, x \in(0, \pi) \) and \( C_{2}:...

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The curves \( C_{1}: y_{1}=1-\cos x, x \in(0, \pi) \) and \( C_{2}: y=\frac{\sqrt{3}}{2}|x|+ \) a will touch each-
\( \mathrm{P} \) other if
(A) \( \quad a=\frac{3}{2}-\frac{\pi}{\sqrt{3}} \)
(B) \( \quad a=\frac{3}{2}-\frac{\pi}{2 \sqrt{3}} \)
(C) \( \quad a=\frac{1}{2}-\frac{\pi}{\sqrt{3}} \)
(D) \( \quad a=\frac{3}{4}-\frac{\pi}{\sqrt{3}} \)
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