Home
Class 11
MATHS
If ((1+i)/(1-i))^(m)=1, then find the le...

If `((1+i)/(1-i))^(m)=1`, then find the least positive integral value of m.

Text Solution

Verified by Experts

The correct Answer is:
4
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 23|1 Videos

  • BINOMIAL THEOREM

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

  • CONIC SECTIONS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|8 Videos

Similar Questions

Explore conceptually related problems

If z=(1)/(2)(sqrt(3)-i) , then the least possible integral value of m such that (z^(101)+i^(109))^(106)=z^(m+1) is

Range of function f(x) = cos (k sin x) is [-1, 1], then the least positive integral value of k will be

Knowledge Check

  • omega is an imaginary cube root of unity. If (1+ omega ^(2)) ^(m)=(1+omega ^(4)) ^(m) then the least positive integral value of m is-

    A
    3
    B
    4
    C
    5
    D
    6

  • If ((1+i)/(1-i))^(m) =1, then least integral value of m is-

    A
    2
    B
    4
    C
    8
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If y=m x+c is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, having eccentricity 5, then the least positive integral value of m is_____

    If sec(alpha-beta)=sqrt(2) and sin(alpha+beta)=(1)/(2) , then find the least positive values of alpha and beta .

    If cos (A-B)=(1)/(2) and cot(A+B)=sqrt(3) , then find the least positive value A and B.

    If m + (1)/(m) = sqrt3 , then find the simpliest value of (i) m^(2) + (1)/(m^(2)) and (ii) m^(3) + (1)/(m^(3)) :

    What will be the least positive intergal value of n such that ((2i)/(1+i))^(n) be a positive intergal value

    If ((1-i)/(1+i))^r is always real then the least value of r is

    Home
    Profile