Consider the two curves \( c_{1}: y=1+\cos x \) and \( c_{2}: y=1+\cos (x-\alpha) \) for \( \alp....

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Consider the two curves \( c_{1}: y=1+\cos x \) and
\( \mathrm{P} \)
\( c_{2}: y=1+\cos (x-\alpha) \) for \( \alpha \in\left(0, \frac{\pi}{2}\right) \), where \( x \in[0, \pi] \). Also the area of the figure bounded by the curve \( c_{1}, c_{2} \) and \( x=0 \) is same as that of the figure bounded by \( c_{2}, y=1 \) and \( x=\pi \).

For the values of \( \alpha \), the area bounded by \( c_{1}, c_{2}, x= \) 0 and \( x=\pi \) is
(1) 1 sq. unit
(2) 2 sq. units
(3) \( 2+\sqrt{3} \) sq. units
(4). None of these
.
(4)(D)(819)


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