Complex Numbers questions
967 published questions with worked solutions.
- If 2x = 3 + 5i, then the value of 2x^3 + 2x^2 - 7x + 72 is
- If A + iB = 4+2i 1-2i , where i = -1 , then what is the value of A?
- What is the value of (- -1 )^ 4n+3 + (i^ 41 + i^ -257 )^9, where n N?
- The conjugate of a complex number Z = a + ib, is
- The conjugate of 2-i (1-2i)^2 is
- The value of (z + 3)( z + 3) is equivalent to
- If z_1 = 2 - i and z_2 = 1 + i, then value of | z_1 + z_2 + 1 z_1 - z_2 + 1 | is
- If z = 1+i 1-i - 1-i 1+i , then |z| is equal to
- The modulus of 1-i 3+i + 4i 5 is
- If |z_1 + z_2|^2 = |z_1|^2 + |z_2|^2, then z_1 z_2 is
- If z(2 - i2 3 )^2 = i( 3 + i)^4, then amplitude of z is
- If z_1, z_2 and z_3, z_4 are two pairs of conjugate complex numbers, then ( z_1 z_4 ) + ( z_2 z_3 ) is equal to
- The argument of 1 - i 3 1 + i 3 is
- Polar form of the complex number z = 1 + i 3 , is
- Polar form of the complex number 2 - 2i is
- The a + ib form of z = 2 e^ i 3 4 is
- The a + ib form of 2 ( 12 + i 12 ) 2 ( 5 6 + i 5 6 ) is
- The polar form of complex number -16 1 + i 3 is
- If 1 is a cube root of unity, then the sum of the series S = 1 + 2 + 3 ^2 + + 3n ^ 3n-1 is
- The value of (1 + 3 i)^4 + (1 - 3 i)^4 is
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