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JEE Main Complex Numbers and Quadratic Equations — practice questions — page 3

Explore 70 free Complex Numbers and Quadratic Equations questions in JEE Main Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Complex Numbers and Quadratic Equations questions and exercises with answers

Showing questions 61–70 of 70.

Hamilton gave his definition of complex numbers around the year:Read the answer and worked solution →A quadratic equation has real coefficients a, b, c with a being:Read the answer and worked solution →True or false on quadraticsRead the answer and worked solution →Quick picks on quadraticsRead the answer and worked solution →Match each term to its meaningRead the answer and worked solution →Real or imaginary axisRead the answer and worked solution →Real or complex solutionsRead the answer and worked solution →Solve when discriminant is negativeRead the answer and worked solution →Fill the gaps on quadraticsRead the answer and worked solution →Spot the one that does not fitRead the answer and worked solution →

Worked practice questions

Hamilton gave his definition of complex numbers around the year:

  1. 1900
  2. 1780
  3. 1830
  4. 1730
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Correct answer: C. 1830

1. He treated a complex number as an ordered pair. 2. This purely mathematical definition is dated approximately. 3. It was about 1830. _Source: syllabus Mathematics, Chapter 5, Complex Numbers and Quadratic Equations._

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A quadratic equation has real coefficients a, b, c with a being:

  1. Exactly zero
  2. Negative
  3. Positive
  4. Non-zero
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Correct answer: D. Non-zero

1. If a were zero the equation would not be quadratic. 2. The x squared term would disappear. 3. So a must be non-zero. _Source: syllabus Mathematics, Chapter 5, Complex Numbers and Quadratic Equations._

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True or false on quadratics

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Questions
  1. Statement is true
    Yes
    Statement
    i squared equals minus one.
  2. Statement is true
    No
    Statement
    In a plus ib, b is the real part.
  3. Statement is true
    Yes
    Statement
    The Argand x-axis is the real axis.
  4. Statement is true
    No
    Statement
    The modulus of z can be negative.
  5. Statement is true
    Yes
    Statement
    A degree n equation has n roots.
  6. Statement is true
    No
    Statement
    Hamilton introduced the symbol i.
Instructions
Decide whether each statement is true or false.
_Source: syllabus Mathematics, Chapter 5, Complex Numbers and Quadratic Equations._

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