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India
Class XI

Complex Conjugates

Interactive practice questions

If $a$a and $b$b are real numbers, then any number of the form $a+bi$a+bi is:

An irrational number

A

An imaginary number

B

A complex number

C

A real number

D
Easy
< 1min

The numbers $3+4i$3+4i and $3-4i$34i, which differ only in the sign of the imaginary parts, are called:

Easy
< 1min

The product of a complex number and its conjugate is always:

Easy
< 1min

To find the quotient of two complex numbers in standard form, we have to multiply both the numerator and denominator by the complex conjugate of the:

Easy
< 1min
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Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

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