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Statement I The curve \( y=-\frac{x^{2}}{2}+x+1 \) is symmetric with respect to the line \( x=1 \). because \( \quad(2007,3 \mathrm{M}) \)
P Statement II A parabola is symmetric about its axis.

W
(a) Statement I is correct, Statement II is correct, Statement II is a correct explanation for Statement I
(b) Statement I is correct, Statement II is correct, Statement II is not a correct explanation for Statement \( \mathrm{I} \)
(c) Statement I is correct, Statement II is incorrect
(d) Statement \( \mathrm{I} \) is incorrect, Statement \( \mathrm{II} \) is correct
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