Questions on Sets, Relations and Functions

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Sets, Relations and Functions are of utmost importance in the study
of mathematics. Most of the students find these topics difficult and
hence they tend to avoid studying these in Higher Secondary level. As
a result they face a lot of conceptual problems in degree classes. I
have collected some random problems on sets, relations and functions
here. I hope that the curious readers may try to solve these.

The file can be downloaded here.


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  • Debashish Sharma
    Posted at 12:25h, 10 October

    There are a few typos in the problem set. Thanks to Dr. S. Parthasarathy ( ) of Hyderabad for pointing these out to me via email. Question number 30 is actually a part of Q. No. 29. We need to find the domain of the function in Q.No 30. Also, the denominator of the expression inside the square root is 6+35x-6x^2 and not 6+35-6x^2.

  • swati
    Posted at 21:10h, 21 November

    Sir please provide me detailed answers of these sets