Complex Numbers questions
967 published questions with worked solutions.
- 3 + 2i 1 - 2i will be purely imaginary, if is equal to
- The values of x and y satisfying the equation (1+i)x - 2i 3+i + (2-3i)y + i 3-i = i are
- The real part of (1 - + 2i )^ -1 is
- The number of non-zero integer solutions of the equation |1 - i|^x = 2^x is
- If (1+i)^2 2-i = x + iy, then x + y is equal to
- Let z = 11 - 3i 1 + i . If is a real number such that z - i is real, then the value of is
- If (x + iy)^ 1/3 = 2 + 3i, then 3x + 2y is equal to
- If i = -1 and n is a positive integer, then i^n + i^ n+1 + i^ n+2 + i^ n+3 is equal to
- If z is a complex number such that Re (z) = Im (z), then
- The imaginary part of (1+i)^2 i(2i-1) is
- The additive inverse of 1 - i is
- The smallest positive integer n for which (1+i)^ 2n = (1-i)^ 2n is
- If ( 1+i 1-i )^x = 1, then
- If a = + i , then 1+a 1-a is equal to
- If 2 = -1 - i 3 and 2 = -1 + i 3 , then 5 ^4 + 5 ^4 + 7 ^ -1 ^ -1 is equal to
- ( 1 1-2i + 3 1+i ) ( 3+4i 2-4i ) is equal to
- If z = x - iy and z^ 1/3 = p + iq, then ( x p + y q ) /(p^2 + q^2) is equal to
- If x = 3 + i, then x^3 - 3x^2 - 8x + 15 is equal to
- In which quadrant of the complex plane, the point 1+2i 1-i lies?
- The value of 30^ +i 30^ 60^ -i 60^ is equal to
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