Indian Navy MR Complex Numbers and Quadratic Equations — practice questions

Explore 5 free Complex Numbers and Quadratic Equations questions in Indian Navy MR 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 1–5 of 5.

For z = a + ib, Re(z) and Im(z) are:Read the answer and worked solution →For the complex number $z = 2 + 5i$, the imaginary part $\operatorname{Im}(z)$ is:Read the answer and worked solution →Quadratic discriminant — true or false?Read the answer and worked solution →Which complex number has the larger modulus?Read the answer and worked solution →Spot the value that is NOT purely imaginaryRead the answer and worked solution →

Worked practice questions

For z = a + ib, Re(z) and Im(z) are:

|z| and arg(z)
b and a
a and b
ab and a+b

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Correct answer: C. a and b

Re(z) = a (real part), Im(z) = b (imaginary part, the coefficient of i; not bi).

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For the complex number $z = 2 + 5i$, the imaginary part $\operatorname{Im}(z)$ is:

5
$5i$
$-5$
2

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Correct answer: A. 5

For z = a + ib, the imaginary part is b; here Im(z) = 5.

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Quadratic discriminant — true or false?

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Questions

Statement is true
Yes
Statement
If discriminant > 0, roots are real and distinct.
Statement is true
Yes
Statement
If discriminant = 0, roots are equal.
Statement is true
No
Statement
If discriminant < 0, both roots are real.
Statement is true
Yes
Statement
Sum of roots of ax² + bx + c = 0 is −b/a.
Statement is true
No
Statement
Product of roots is c/b.

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