## Complex Numbers Quiz-12

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
•  2
•  3
•  4
Solution

Q2.If Î±≠Î² and Î±2=5Î±-3, Î²2=5Î²-3, then the equation having Î±/Î² and Î²/Î± as its roots is
•  3x2+19x+3=0}
•  3x2-19x+3=0
•  3x2-19x-3=0
•  x2-16x+1=0
Solution

Q3.  For the equation 1/x+a-1/x+b=1/x+c2, if the product of the roots is zero, then the sum of the roots is
•  1
•  2ab/(b+c)
•  2bc/(b+c)
•  -2bc/(b+c)
Solution

Q4. If the equation x3-3x+a=0 has distinct roots between 0 and 1, then the value of a is
•  2
•  1/2
•  3
•  None of these
Solution

Q5. Let [x] denote the greatest integer less than or equal to x. Then, in [0,3] the number of
solutions of the equation x2-3x+[x]=0, is
•  6
•  4
•  2
•  0
Solution

Q6. If the equations ax2+bc+c=0 and 2x2+3x+4=0 have a common root, then a : b : c
•  2 : 3 : 4
•  1 : 2 : 3
•  4 : 2 : 3
•  None of these
Solution

Q7. If Î± and Î² are the solutions of the quadratic equation ax2+bx+c=0 such that Î²=Î±(1/3), then
•  (ac)1/3+(ab)1/3+c=0
•  (a3 b)1/4+(ab3)1/4+c=0
•  (a3 c)1/4+(ac3)1/4+b=0
•  (a4 c)1/3+(ac4)1/3+b=0
Solution

Q8. If Î± and Î² are roots of the quadratic equation x2+4x+3=0, then the equation whose roots are 2Î±+Î² and Î±+2Î² is
•  x2-12x+35=0
•  x2+12x-33=0
•  x2-12x-33=0
•  x2+12x+35=0
Solution

Q9. The number of real solution of the equation (9/10)= -3+x-x2 is
•  0
•  1
•  2
•  None of these
Solution

Q10. If the roots of the equation 8x3-14x2+7x-1=0 are in GP, then the roots are
•  1,1/2,1/4
•  2, 4, 8
•  3, 6, 12
•  None of these
• Solution

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Complex Numbers Quiz-12