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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)
•  R
•  (-2,2)
Solution
Q2.If 2x.3x+4=7x, then x is equal to

Solution

Q3.
•  1
•  2
•  3
•  1/2
Solution

Q4.
•  0
•  1
•  2
•  None of these
Solution

Q5. The polynomial (ax2+bx+c)(ax2-dx-c), ac ≠ 0 has
•  Four real roots
•  At least two real roots
•  At most two real roots
•  No real roots
Solution
(b) Let f(x)=(ax2+bx+c)(ax2-dx-c) ⇒ D1=b2-4ac and D2=d2+4ac
⇒ D1+D2=b2-4ac+d2+4ac =b2+d2  ≥ 0
therefore At least one of D1and D2 is positive
Hence, the polynomial has at least two real roots
Q6.Let Î±,Î±2 be the roots of x2+x+1=0, then the equation whose roots are Î±31,Î±62 , is
•  x2-x+1=0
•  x2+x-1=0
•  x2+x+1=0
•  x60+x30+1=0
Solution
Q7.The approximate value of  is∛28

•  3.0037
•  3.037
•  3.0086
•  3.37
Solution 7
Q8.The quadratic equations, x2-6x+a=0 And x2-cx+6=0 have one root in common. The other roots of the first and second
equations are integers in the ratio 4:3.Then the common root is
•  2
•  1
•  4
•  3
Solution
Q9.If a and b are the roots of the equation x2+ax+b=0, a≠0, b≠0, then the values of a and b are respectively
•  2 and -2
•  2 and -1
•  1 and -2
•  1 and  2
Solution
Q10. If Î± and Î² are the roots of the equation x2-ax+b=0 and An=Î±n+Î²n, then which one of the following is true?
•  An+1=aAn+bAn-1
•  An+1=bAn+aAn-1
•  An+1=aAn-bAn-1
•  An+1=bAn-aAn-1
Solution

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