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JEE Advanced 2007Paper 2
Exam
JEE Advanced
Year
2007
Paper
Paper 2
Subject
Mathematics
Chapter
Parabola

JEE Advanced 2007 · Paper 2 · Mathematics · Parabola

Statement I The curve y=-(x^2)/(2)+x+1 is symmetric with respect to...

Statement I The curve y=−x22+x+1y=-\frac{x^2}{2}+x+1 is symmetric with respect to the line x=1x=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

y=−x22+x+1⇒y−32=−12(x−1)2\begin{array}{rlrl}y & =-\frac{x^2}{2}+x+1 \\ \Rightarrow & y-\frac{3}{2}& =-\frac{1}{2}(x-1)^2 \end{array}It is symmetric about x=1x=1.
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