XII-MATHEMATICS: GROUP - 1 : COACHING

GROUP-1: PRACTICE QUESTIONS UNDER ICT PROJECT

DATE: 06 - 07 - 2015

CLASS: XII - MATHS:               CHAPTER: FUNCTIONS
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    1.        If the binary operation  _* on the set Z of integers is defined by  a _* b =  a + b – 5  , 
      

             then write the identity element for the operation _* in Z.

   2.       If the binary operation * on the set Z of integers is defined as  a * b  =  a + b + 2 ,  then                       write the identity element for the operation * in Z.

   3.     Let  *  be a binary operation defined by  a * b =  3 a + 4 b – 2 .  Find  4 * 5.

    4.   Let  * be a binary operation on N defined as a * b = lcm ( a , b ) on N.  Find the 

          identity element    of  * in N.

    5.    Check the injectivity of the function  f : R → R  defined by f ( x ) =  1 + x².    

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