## MATHEMATICS RELATIONS QUIZ-6

As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing for the examination are more inclined to have a keen interest in Mathematics due to their ENGINEERING background.

Furthermore, sections such as Mathematics are dominantly based on theories, laws, numerical in comparison to a section of Engineering which is more of fact-based, Physics, and includes substantial explanations. By using the table given below, you easily and directly access to the topics and respective links of MCQs. Moreover, to make learning smooth and efficient, all the questions come with their supportive solutions to make utilization of time even more productive. Students will be covered for all their studies as the topics are available from basics to even the most advanced.

Q1.

•  √2
•  -√2
•  1
•  -1
Solution

Q2.

•  R
•  (-4,4)
•  R+
•  (-4,0)∪(0,∞)
Solution

Q3.  Let f:A→B and g:B→C be two functions such that gof:A→C is onto. Then,
•  f is onto
•  g is onto
•  f and g both are onto
•  None of these

Q4.

•  2n Ï€(n-1)
•  4(n-1) Ï€
•  2n (n-1)
•  None of these
Solution

Q5.If f(x+y,x-y)=xy, then the arithemetic mean of f(x,y) and f(y,x) is
•  x
•  y
•  0
•  None of these
Solution

Q6. The number of bijective functions from set A to itself when A contains 106 elements is
•  106
•  (106)2
•  106 !
•  2106
Solution
The total number of bijections from a set containing n elements to itself is n !.
Hence, required number =(106) !

Q7.

•

•

•

Solution

Q8.

•  (0,1)∪(1,∞)
•  (0,∞)
•  [0,∞)
•  [0,1)∪(1,∞)
Solution
For f(x) to be real, we must have x>0 and log_10⁡〖x≠0〗 ⇒x>0 and x≠1⇒x>0 and x≠1⇒x∈(0,1)∪(1,∞)

Q9.

•  (103,104 )
•  [103,104 ]
•  [103,104 )
•  (103,104 ]
Solution

Q10.

•

•

•

•

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