Practice questions
88551 published questions with worked solutions.
- If | z-25 z-1 |=5, find the value of |z|
- A and B are two points on the Argand plane such that the segment AB is bisected at the point (0,0). If the point A, which is in...
- If (3+i)(z+ z)-(2+i)(z- z)+14i=0, then z z is equal to
- If z-1 z+1 is purely imaginary number (z -1), then |z| is equal to
- The complex numbers z having positive argument and satisfying |2-3i|<|z|, is
- If z_1,z_2 are any two complex numbers, then
- If z_1,z_2 are two complex numbers satisfying | z_1-3z_2 3-z_1 z_2 |=1, |z_1| 3, then |z_2| is equal to
- 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