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

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

A

-4+i

B

4i

C

4

D

-4

Text Solution

Verified by Experts

The correct Answer is:
D
`(1-i)^4`
`((1-i)^2)^2`
`= (1^2 + i^2 - 2i)^2`
`= (cancel(1) cancel(- 1) - 2i)^2`
= `(-2i)^2`
`=4i^2`
`= 4(-1)`
`=-4`
...
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 .

Express of the complex number in the form a+ib .

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)/(3)+3i)^(3)

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

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

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

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

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