QUADREATIC-EQUATION-QUIZ-1

MATHEMATICS QUADRATIC EQUATION QUIZ-1

Dear Readers,

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. The real roots of the equation x^2/3-x^1/3-2=0 are

•   1,8
•  -1,-8
•  -1,8
•   1,-8

Solution

Q2.If log₁₀⁡7=0.8451, then the position of the first significant figure of 7^-20 is

•  16
•  17
•  20
•  15

Solution

Q3.  The point (4, 1) undergoes the following three transformations successively
        (i) Refletion about the line y=x
        (ii) Translation through a distance of 2 unit along the positive direction of x-axis
        (iii) Rotation through an angle of π/4 about the origin in the anti-clockwise direction
        The final position of the point is

•  (
  1/√2
  ,
  7/√2
  )
•  (- 
  1/√2
  ,
  7/√2
  )
•  (-√2,7√2)
•  (√2,7√2)

Solution

Q4. 

•  nπ+α
•  2nπ
•  nπ/2+α
•  None of these

Solution

Q5.

•  30
•  40
•  55
•  35

Solution

Q6. The principle amplitude of (sin⁡40°+icos⁡40° )⁵ is

•   70°
•  -110°
•   110°
•  -70°

Solution

Q7.Rational roots of the equation 2x⁴+x³-11x²+x+2=0 are

•  1/2 and 2
•  1/2,2,1/4,-2
•  1/2,2,3,4
•  1/2,2,3/4,-2

Solution

Q8.

•  -(a₁ c₂-a₂ c₁ )²
•  (a₁ a₂-c₁ c₂ )²
•  (a₁ c₁-a₂ c₂ )²
•  (a₁ c₂-a₂ c₁ )²

Solution

Q9.

•  4
•  0
•  6
•  2

Solution

Q10. 

•  x-3
•  x+1
•  x+2
•  x-1

Solution