## MATHEMATICS QUADRATIC EQUATION AND COMPLEX NUMBER 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. If Î±,Î² be the roots of the quadratic equation x^2+x+1=0, then the equation whose roots are Î±19,Î²17 is
•  x2-x+1=0
•  x2-x-1=0
•  x2+x-1=0
•  x2+x+1=0
Solution

Q2.

•    6
•  √2
•  √6
•  √3
Solution

Q3.

•  x=4n, where n is any positive integer
•  x=2n, where n is any positive integer
•  x=4n+1, where n is any positive integer
•  x=2n+1, where n is any positive integer
Solution

Q4.

•  ∆≠0
•  b∆=0
•  c∆=0
•  bc≠0
Solution

Q5.If |z1 |=|z2 | and arg⁡(z1 )+arg⁡(z2)=0, then
•  z1=z2
•  z1=z2 ̅
•  z1 z2=1
•  None of these
Solution

Q6. If a≤0, then one of the roots of x2-2a|x-a|-3a2=0 is
•  (-1+√6)a
•  (√6-1)a
•  a
•  None of these
Solution

Q7.If the difference of the roots of the equation x2-bx+c=0 be 1, then
•  b2-4c-1=0
•  b2-4c=0
•  b2-4c+1=0
•  b2+4c-1=0
Solution

Q8.

•  45
•  47
•  49
•  50
Solution

Q9.f one root of equation x2+ax+12=0 is 4 while the equation x^2+ax+b=0 has equal roots, then the value of b is
•  4/49
•  49/4
•  7/4
•  4/7
Solution

Q10. The value of x4+9x3+35x2-x+4 for x=-5+2√-4 is
•    0
•  -160
•   160
•  -164
Solution

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