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Statement 1 : The curve y=-(x^2)/2+x+1 i...

Statement 1 : The curve `y=-(x^2)/2+x+1` is symmetric with respect to the line `x=1` Statement 2 : A parabola is symmetric about its axis.

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The correct Answer is:
A
`y = - (x^(2))/(2) + x + 1 implies y - (3)/(2) = - (1)/(2) (x - 1)^(2)`
`implies` It is symmetric about x = 1
Hence, option (a) is correct.
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