Home
Class 11
MATHS
Conver the following in the polar form: ...

Conver the following in the polar form:
(i) `(1+7i)/(2-i)^(2)`, (ii) `(1+3i)/(1-2i)`

Text Solution

Verified by Experts

The correct Answer is:
(i) `sqrt(2)(cos (3pi)/4 + isin(3pi)/4)`, (ii) `sqrt(2)(cos (3pi)/4 + isin(3pi)/4)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 10|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 11|1 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 8|1 Videos
  • BINOMIAL THEOREM

    NCERT GUJARATI|Exercise Miscellanous exercise on chapter 8|10 Videos
  • CONIC SECTIONS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

Convert the following complex number in the polar form : (1-i)/(1+i)

Convert the following complex number in the polar form : (1+2i)/(1-3i)

Knowledge Check

  • The polar form of ((i)^(25))^(3) is....

    A
    `cos((pi)/(2))+I sin((pi)/(2))`
    B
    `cos pi+I sin pi`
    C
    `cospi-sinpi`
    D
    `cos((pi)/(2))-isin((pi)/(2))`
  • Similar Questions

    Explore conceptually related problems

    Convert the following complex number in the polar form : 2-2i

    Convert the following complex number in the polar form : ((1+i)^(13))/((1-i)^(7))

    Convert each of the complex number in the polar form: 1-i

    Convert each of the complex number in the polar form: -1-i

    Express the following in the form of a+bi, (i) (-5i) (1/8 i) , (ii) (-i)(2i)(-1/8i)^(3)

    Express the following in the form a+ib. (i) (5+sqrt(2)i)/(1-sqrt(2)i) , (ii) i^(-35)

    Convert the following complex number in the polar form : (2+6 sqrt(3)i)/(5+ sqrt(3)i)