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JEE Advanced2007MathematicsParabolaActual

Statement I The curve y=- x^2 2 +x+1 is symmetric with respect to the line x=1 Statement II A parabola is symmetric about its axis.

Options

  1. AStatement I is true, Statement II is true; Statement II is a correct explanation for Statement I
  2. BStatement I is true, Statement II is true; Statement II is not a correct explanation for Statement I
  3. CStatement I is true, Statement II is false
  4. DStatement I is false, Statement II is true

Correct answer

A. Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I

Step-by-step solution

array rlrl y & =- x^2 2 +x+1 & y- 3 2 & =- 1 2 (x-1)^2 array It is symmetric about x=1 .

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