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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.
•  1
• -1
•  i
• -i
Solution
Q2. If  |z + 4 | ≤ 3 then the greatest and the least value of |z+1| are
•  6,-6
•  6,0
•  7,2
•  0,-1
Solution
(b) We have, |z+4| ≤ 3 ⇒ -3 ≤ z+4 ≤ 3
⇒ -6≤ z+1 ≤ 0 ⇒ 0 ≤ -(z+1) ≤ 6 ⇒  0 ≤ |z+1| ≤ 6
Hence, greatest and least values of |z+1| are 6 and 0 respectively
Q3.The value of log2log3.....log1001009998..21 is equal to
•  0
•  1
•  2
•  100!
Solution
Q4.
•  (3/4,1)⋃(1,∞)
•  (3/4,∞)
•  (-∞,3/4)
•  None of these
Solution
Q5. If f(x) is a polynomial of degree n with rational coefficients and 1+2i ,2-√3 and 5 are three roots of f(x)=0, then the least value of n is
•  5
•  4
•  3
•  6
Solution
(a) Since, (1+2i),(2-√3) and 5 are the some roots of polynomial f(x) of degree n. As we know that conjugate are also the roots of the polynomial. Therefore, (1-2i) and (2+√3) are also the roots of the polynomial. therefore The least value of n is 5
Q6.If Ï‰(≠1) be a cube root of unity and (1+Ï‰)7=A+BÏ‰, then A and B are respectively the numbers:
•  0,1
•  1,1
•  1,0
•  -1,1
Solution
Q7.

•  (1,3)
•  (1,3]
•  (-∞,1)U[3,∞)
•  None of these
Solution 7
Q8. If |z - i |=1 and arg(z)=Î¸, where 0< Î¸ < Ï€/2, then cotÎ¸-2/z equals
• 2i
• -i
•  i
•  1+i
Solution
Q9.
•  1+i√3
•  1-i√3
•
• -1
Solution
(d) Let ABC be the equilateral triangle circumscribing the circle |z|=1/2.Let z1,z2,z3 be the affixes of vertices A,B and C respectively in anti-clock wise sense. Clearly, O (origin) is the circumcentre of ∆ABC \therefore z2=z1ei2Ï€/3=(-Ï‰2)(Ï‰)=-Ï‰3=-1
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?
•  Ï‰2
•  0
•  1
•  Ï‰
Solution

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