## MATHEMATICS QUADRATIC EQUATION AND COMPLEX NUMBER QUIZ-4

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.

•  (a2+b2 )(|z1 |+|z2 |)
•  (a2+b2 )(|z1 |2+|z2 |2)
•  (a2+b2 )(|z1 |2 - |z2 |2)
•  None of the above
Solution

Q2.

•  Real and distinct
•  Imaginary
•  Equal
•  Rational and equal
Solution

Q3.

•  |a|2=b
•  |a|2>b
•  |a|2 < b
•  None of these
Solution

Q4. The complex numbers sin x+i cos⁡2x and cos⁡x - isin⁡2x are conjugate to each other for
•  x=nÏ€
•  x=(n+1/2)Ï€
•  x=0
•  No value of x
Solution

Q5.

•  4
•  3
•  2
•  8
Solution

Q6.If Î±1,Î±2,Î±3 respectively denote the moduli of the complex numbers -i,1/3(1+i) and -1+i, then their increasing order is
•  Î±1,Î±2,Î±3
•  Î±3,Î±2,Î±1
•  Î±2,Î±1,Î±3
•  Î±3,Î±1,Î±2
Solution

Q7.If a,b,c∈R and a+b+c=0, then the quadratic equation 4ax2+3bx+2c=0 has
• One positive and one negative root
•  Imaginary roots
•  Real roots
•  None of these
Solution

Q8.

•  A circle
•  An ellipse
•  A straight line
•  None of these
Solution

Q9.If a,b,c are real and x3-3b2 x+2c3 is divisible by x-a and x-b, then
•  a=-b=-c
•  a=2b=2c
•  a=b=c or a=-2b=-2c
•  None of these
Solution

Q10. If the equation x2+9y2-4x+3=0 is satisfied values of x and y, then
•  1≤x≤3
•  2≤x≤3
•  -1/3 < y < 1
•  0 < y < 2 /3
Solution

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