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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) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not a correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is trueA. Statement I is correct, Statement II is correct, Statement II is not a correct explanation for statement IB. Statement I is correct, Statement II is incorrectC. Statement I is incorrect, Statement II is correctD. |
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Answer» Correct Answer - 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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