Home
Class 12
MATHS
If z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqr...

If `z=(3+4i)^(6)+(3-4i)^(6),"where" i=sqrt(-1),` then Find the value of Im(z) .

A

-6

B

0

C

6

D

none of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 3|15 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|14 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise for session 5|1 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

If |z-2i|lesqrt(2), where i=sqrt(-1), then the maximum value of |3-i(z-1)|, is

If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

If z is any complex number satisfying abs(z-3-2i) le 2 , where i=sqrt(-1) , then the minimum value of abs(2z-6+5i) , is

If z = 3 -2i then the value s of (Rez) (Im z)^(2) is

If z = (-4 +2 sqrt3i)/(5 +sqrt3i) , then the value of arg(z) is

If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2 (c) 1/4 (d) None of these

If i z^3+z^2-z+i=0 , where i=sqrt(-1) , then |z| is equal to 1 (b) 1/2 (c) 1/4 (d) None of these

If (3+i)(z+bar(z))-(2+i)(z-bar(z))+14i=0 , where i=sqrt(-1) , then z bar(z) is equal to

For z= sqrt3-i , find the principal, value arg(z)