Home
Class 12
MATHS
Which of the following complex numbers i...

Which of the following complex numbers is equivalent to `(2+ I )/(3 + 5i)` ?

A

`2/3 + i/5`

B

`2/3 -i/5`

C

`11/34+(7i)/(34)`

D

`11/34- (7i)/(34)`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • IMAGINARY NUMBERS

    KAPLAN|Exercise TRY ON YOUR OWN|11 Videos

  • GEOMETRY

    KAPLAN|Exercise THREE-DIMENSIONAL FIGURES|1 Videos

  • INEQUALITIES

    KAPLAN|Exercise MODELING REAL-LIFE SITUATIONS WITH INEQUALITIES|1 Videos

Similar Questions

Explore conceptually related problems

Which of the following complex numbers is equivalent to (3-5i)/(8+2i) ? (Note: i=sqrt(-1) )

For i=sqrt(-1) , which of the following complex number is equivalent to (10i+4i^2)-(7-3i) ?

Knowledge Check

  • Which of the following complex numbers is equivalent to (3+i)/(4-7i) ?

    A
    `(17)/(28)`
    B
    `-(19)/(33)-(25)/(33)i`
    C
    `(1)/(13)-(5)/(13)i`
    D
    `(1)/(13)+(5)/(13)i`

  • Which of the following complex numbers is equivalent to (8-4i)/(5+3i) ? (Note: i=sqrt(-1) )

    A
    `(14)/(17)+(22)/(17)i`
    B
    `(14)/(17)-(22)/(17)i`
    C
    `(13)/(17)-(24)/(17)i`
    D
    `(13)/(8)+(14)/(17)i`

  • Which oof the following complex numbers is equivalent to (7-3i)/(2+4i) ?

    A
    `(1)/(10)-(17)/(10)i`
    B
    `(1)/(10)+(17)/(10)i`
    C
    `(7)/(2)-(3)/(4)i`
    D
    `(7)/(2)+(3)/(4)i`

    • Similar Questions

    Explore conceptually related problems

    Which of the following complex numbers is equal to (5 + 12i) − ( 9i^2 − 6i), for i = sqrt(−1) ?

    The imaginary number "I" is such that i^(2)=-1 . Which of the following options is equivalent to ((1-2i)/(2+3i)) ?

    The imaginary number I is such that i^(2) =-1. Which of the following options is equivalent to sqrt(5+12i) ?

    For all real number x and the imaginary number i, which of the following expressions is equivalent to (x - 3i)^(3) ?

    (4i^(2)-6i)-(3+10i) For i=sqrt(-1) , which of the following complex numbers is equal to the expressions above?

    Home
    Profile