Home
Class 11
MATHS
Express of the complex number in the for...

Express of the complex number in the form `a + i b`.
`(-2-1/3i)^3`

Text Solution

AI Generated Solution

To express the complex number \((-2 - \frac{1}{3}i)^3\) in the form \(a + ib\), we will use the identity for the cube of a binomial. ### Step-by-Step Solution: 1. **Identify \(a\) and \(b\)**: We have the expression \((-2 - \frac{1}{3}i)\). Here, we can identify: - \(a = -2\) - \(b = \frac{1}{3}i\) ...
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise SOLVED EXAMPLES|17 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise MISCELLANEOUS EXERCISE|20 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT|Exercise EXERCISE 5.4|6 Videos
  • BINOMIAL THEOREM

    NCERT|Exercise SOLVED EXAMPLES|17 Videos
  • CONIC SECTIONS

    NCERT|Exercise EXERCISE 11.1|15 Videos

Similar Questions

Explore conceptually related problems

Express of the complex number in the form a+ib ((1)/(3)+3i)^(3)

Express of the complex number in the form a+ib(1-i)-(-1+i6)

Express of the complex number in the form a+iota b.[(1/3+i7/3)+(4+i1/3)]-(-4/3+i)'

Express of the complex number in the form a+ib (1-i) ^(4)

Express of the complex number in the form a+ib .(5i)(-(3)/(5)i)

Express of the complex number in the form a+ib3(7+i7)+i(7+i7)

Express of the complex number in the form a+ibquad ((1)/(5)+i(2)/(5))-(4+i(5)/(2))

Convert of the complex number in the polar form: (i)-3

Express each of the following in the form a+ib:(-2-(1)/(3)i)^(3)

Express the following complex numbers in the form of a+ib:(i)(1)/(3-4i)