## MATHEMATICS QUADRATIC AND COMPLEX NUMBER QUIZ-3

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.

•  -2/5
•   6/5
•   2/5
•  -6/5
Solution

Q2.The graph of the function y=16x2+8(a+5)x-7 a-5 is strictly above the x-axis, then 'a' must satisfy the inequality
•  -15 < a < -2
•  -2< a < -1
•   5 < a < 7
•   None of these
Solution

Q3.

•  1-c cos⁡Î¸
•  1+2c cos⁡Î¸
•  1+c cos⁡Î¸
•  1-2c cos⁡Î¸
Solution
Since, ∆(1)=0 and∆^' (1)=0 so,(x-1)2 is a factor of ∆(x)

Q4.

•  1
•  2
•  3
•  5
Solution

Q5.

•  1
•  2
•  3
•  4
Solution

Q6.

•  z1=k z2,k∈R
•  z1=i k z2,k∈R
•  z1=z2
•  None of these
Solution

Q7.If Î±,Î² are the roots of the equation ax2+bx+c=0, then the equation whose roots are 2Î±+3Î² and 3Î±+2Î², is
•  acx2+(a+c)bx-(a+c)2=0
•  acx2-(a+c)bx+(a+c)2=0
•  abx2-(a+b)cx+(a+b)2=0
•  None of the above
Solution

Q8.

•  2
•  3
•  6
•  5
Solution

Q9.

•  1
•  2
•  3
•  4
Solution

Q10. If a,b,c are real numbers in G.P. such that a and c are positive, then the roots of the equation ax2+bx+c=0
•  2
•  4
•  6
•  8
Solution

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