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  3. 12th Class
  4. Mathematics
  5. Definite Integrals

12th Class Mathematics Definite Integrals Question Bank Critical Thinking

  • question_answer
    The area bounded by the curves \[y=\,|x|-1\] and \[y=-|x|+1\] is [IIT Screening 2002]

    A) 1    

    B) 2

    C) \[2\sqrt{2}\]                         

    D) 4

    Correct Answer: B

    Solution :

    • The lines are \[y=x-1,x\ge 0\] \[y=-x-1,x<0\], \[y=-x+1,x\ge 0\], \[y=x+1,x<0\]           
    • Area \[=4\times \left( \frac{1}{2}\times 1\times 1 \right)=2\].


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