Complex Numbers Quiz-11

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. For real values of x, the expression ((x-b)(x-c))/((x-a)) will assume all real values provided:
•  a ≤ c ≤ b
•  b ≥ a ≥ c
•  b ≤ c ≤ a
•  a ≥ b ≥ c
Solution

Q2.The solution set of the equation [4(1-1/3+1/9-1/27+...)]log 2⁡x =[54(1+1/3+1/9+1/27+...)]log x⁡2 is :
•  {4,1/4}
•  {2,1/2}
•  {1 ,2}
•  {8,1/8}
Solution

Q3.  If x-c is a factor of order m of the polynomial f(x) of degree n(1
•  m(x)
•  (m-1)(x)
•  n(x)
•  None of these
Solution

Q4. Let x1,x2 be the roots of the equation x2-3x+p=0 and let x3,x4 be the roots of the equation x2-12x+q=0. If the numbers x1,x2,x3,x4 (in order) form an increasing G.P., then
•  p=2,q=16
•  p=2,q=32
•  p=4,q=16
•  p=4,q=32
Solution

Q5. If (√3+i)10=a+ib, then a and b are respectively
•  128 & 128√3
•  64 & -64√3
•  512 & -512√3
•  None of these
Solution

Q6. If Ï‰ is an imaginary cube root of unity and x=a+b, y=aÏ‰+bÏ‰2,z=aÏ‰2+bÏ‰, then x2+y2+z2 is
•  6ab
•  3ab
•  6a2 b2
•  3a2 b2
Solution

Q7. The conjugate of the complex number (1+i)2/(1-i) is
•  1-i
•  1+i
•  -1+i
•  -1-i
Solution

Q8. Number of non-zero integral solutions of the equation (1-i)n=2n is:
•  1
•  T2
•  Infinite
•  None of these
Solution

Q9. If the roots of the equation qx2+px+q=0 are complex, where p,q are real, then the roots of the equation x2-4qx+p2=0 are
•  Real and unequal
•  Real and equal
•  Imaginary
•  None of these
Solution

Q10. If z1,z2,z3,z4 represent the vertices of a rhombus taken in the anticlockwise order, then
•  z1+z2+z3+z4=0
•  z1+z2=z3+z4
•  amp (z2-z4)/(z1-z3)=Ï€/2
•  amp (z1-z2)/(z3-z4)=Ï€/2
• Solution

Want to know more

Please fill in the details below:

Latest NEET Articles\$type=three\$c=3\$author=hide\$comment=hide\$rm=hide\$date=hide\$snippet=hide

Name

ltr
item
BEST NEET COACHING CENTER | BEST IIT JEE COACHING INSTITUTE | BEST NEET & IIT JEE COACHING: Complex Numbers Quiz-11
Complex Numbers Quiz-11