Complex Numbers questions
967 published questions with worked solutions.
- If |z|=1 and w= z-1 z+1 (where z -1), then Re (w) is
- If n is a positive integer, then (1+i)^n+(1-i)^n is equal to
- The value of ( 20^ +i 20^ ) ( 75^ +i 75^ ) ( 10^ +i 10^ ) 15^ -i 15^ is
- The product of all values of ( +i )^ 3/5 is
- If i= -1 , then 4+5 (- 12+ i 3 2 )^ 334 +3 (- 12+ i 3 2 )^ 365 is equal to
- ( +i )^4 ( +i )^5 is equal to
- If is a complex number satisfying the equation ^2+ +1=0, then ^ 31 is equal to
- If the expression x2+ x2-i x 1+2i x2 is real then the set of all possible value of x is
- If 1, , ^2 are the cube roots of unity, then (1+ )(1+ ^2)(1+ ^4)(1+ ^8) is equal to
- If is a complex cube root of unity, then 225+(3 +8 ^2)^2+(3 ^2+8 )^2 is equal to
- Let z= +i . Then, the value of _ m=1 ^ 15 Im (z^ 2m-1 ) at =2^ is
- The product of cube roots of -1 is equal to
- If is an imaginary cube root of unity, then (1+ - ^2)^7 equals
- ( -1+ 3i 2 )^ 100 + ( -1- 3i 2 )^ 100 is equal to
- If a= +i , b= +i , c= +i , and bc+ ca+ ab=1, then ( - )+ ( - )+ ( - ) is equal to
- The value of the expression 2 (1+ 1 ) (1+ 1 ^2 )+3 (2+ 1 ) (2+ 1 ^2 )+ +(n+1) (n+ 1 ) (n+ 1 ^2 ) is
- The value of (- 12+ 3i 2 )^ 1000 is
- One root of (1)^ 1/3 is
- A value of n such that ( 3 2+ i2 )^n=1 is
- Let a=e^ i 2 3 . Then the equation whose roots are a+a^ -2 and a^2+a^ -4 is
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