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

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

A

Statement I is correct, Statement II is correct, Statement II is not a correct explanation for statement I

B

Statement I is correct, Statement II is incorrect

C

Statement I is incorrect, Statement II is correct

D

1 is false but 2 is true

Text Solution

Verified by Experts

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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