Complex Numbers questions
967 published questions with worked solutions.
- The value of (1 + ^2 + 2 )^ 3n - (1 + + 2 ^2)^ 3n is equal to
- Which of the following represent correct form of set of complex numbers?
- If (1 - i)x + (1 + i)y = 1 - 3i, then (x, y) is equal to
- If z is non-zero complex number and z = a + ib, then multiplicative inverse of z is
- If z = i^ -39 , then simplest form of z is equal to
- If z_1 = 2 2 (1 + i) and z_2 = 1 + i 3 , then z_1^2 z_2^3 is equal to
- If the number (1-i)^n (1+i)^ n-2 is real and positive, then n is
- If the conjugate of (x + iy)(1 - 2i) is 1 + i, then
- If z = ( 3 + i)^3(3i + 4)^2 (8 + 6i)^2 , then |z| is equal to
- The value of | 1 + i 3 (1 + 1 i+1 )^2 | is
- If z_1 and z_2 are two complex numbers such that |z_1| = |z_2| + |z_1 - z_2|, then
- The polar form of - 3 - i is
- The a + ib form of 3e^ i 5 12 4 e^ i 12 is
- If and ^2 are the cube roots of unity, then roots of equation (x - 1)^3 + 125 = 0 are
- If x = -3 + i 3 2 is a complex number, then the value of (x^2 + 3x)^2(x^2 + 3x + 1) is
- If ( 3 i + 1)^ 100 = 2^ 99 (a + ib), then a^2 + b^2 is equal to
- If = e^ i2 /3 and a, b, c, x, y, z are non-zero complex numbers such that a + b + c = x, a + b + c ^2 = y, a + b ^2 + c = z....
- If ( 3 2 + i 3 2 )^ 50 = 3^ 25 (x + iy), where x and y are real, then the ordered pair (x, y) is
- What is ^ 100 + ^ 200 + ^ 300 equal to, where is the cube root of unity?
- If Re ( z-1 z+1 )=0, where z=x+iy is a complex number, then which one of the following is correct?
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