Home
Class 11
MATHS
Find the modulus of (1+i)/(1-i) - (1-i)...

Find the modulus of `(1+i)/(1-i) - (1-i)/(1+i)`

Text Solution

Verified by Experts

The correct Answer is:
2
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 20|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 21|1 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT TELUGU|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 18|1 Videos

  • BINOMIAL THEOREM

    NCERT TELUGU|Exercise Miscellanous exercise on chapter 8|10 Videos

  • CONIC SECTIONS

    NCERT TELUGU|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Find the values of (1 - i)^(8)

Find the value of (1-i)^8 .

Knowledge Check

  • The modulus of (5+4i)/(1+i) is

    A
    `sqrt(41)//2`
    B
    `sqrt(41//2)`
    C
    `41//sqrt(2)`
    D
    `sqrt(41)//sqrt(2)`

  • The modulus of ((3 + i) (2 - i))/(1 +i) is

    A
    5
    B
    `sqrt5`
    C
    `5sqrt2`
    D
    `sqrt5//sqrt2`

  • The modulus of ((3+i)(2-i))/(1+i) is

    A
    5
    B
    `sqrt(5)`
    C
    `5sqrt(2)`
    D
    `sqrt(5)//sqrt(2)`

    • Similar Questions

    Explore conceptually related problems

    Find the value of (1 + i ) ^( 16).

    Simplify the following complex numbers and find their modulus. =((2+4i)(-1+2i))/((-1-i)(3-i))

    ((1+i)/(1-i))^4+((1-i)/(1+i))^4=

    (1-i)(1+2i)(1-3i)=

    ((1 + i)/(1-i))^(4) + ((1- i)/(1+ i))^(4) =

    Home
    Profile