Complex Numbers questions
967 published questions with worked solutions.
- Argument of 1-i 3 1+i 3 is
- If (x – iy) (3 + 5i) is the conjugate of – 6 – 24i (where x, y IR and i = -1 ), then the values of x and y are respectively
- If arg(z) < 0, then arg (-z) - arg(z) equls
- If ( 1-i 1+i )^ 100 =a+ib, where a,b R and i= -1 , then (a,b) is equal to
- If Z_1 = 2 + i and Z_2 = 3 - 4i and ( Z_1 Z_2 ) = a + bi, then the value of -7a + b is (where i = -1 and a, b IR)
- If Z_1=4i^ 40 -5i^ 35 +6i^ 17 +2, Z_2=-1+i, where i= -1 , then |Z_1+Z_2|=
- If Z= -2 1+ 3 ,i , i= -1 , then the value of arg Z is
- The argument of 1 + i 3 3 + i , i = -1 is
- If w= z z- 13 i and |w|=1, i= -1 , then z lies on
- If the complex number z=x+iy, where i= -1 , satisfies the condition then |z+1|=1, then z lies on
- If w= -1+i 3 2 , where i= -1 , then the value of (3+w+3w^2)^4 is
- If (x+iy)^ 1/3 =a+ib where x,y,a,b R and i= -1 then x a - y b =
- If and are the complex cube roots of unity, then ^3 + ^3 + ^ -2 ^ -2 is equal to
- If and are the roots of the equation x^2+x+1=0 then ^ 2026 + ^ 2026 =
- If -1 + -3 = re^ i , then the value of is
- If x= 5 1-2i , i= -1 , then the value of x^3+x^2-x+22 is
- Let w=- 1 2 +i 3 2 , i= -1 , then the value of vmatrix 1&1&1 1&-1- ^ 2 & ^ 2 1& ^ 2 & ^ 4 vmatrix is
- Let Z be a complex number such that |Z|+Z=2+i (where i= -1 ), then |Z| is equal to
- If x=-2- 3 i, where i= -1 , then the value of 2x^ 4 +5x^ 3 +7x^ 2 -x+41 is
- If |z - 2 + i| 2, then the difference between the greatest and least value of |z| is _____, (i = -1 )
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