Practice questions
88551 published questions with worked solutions.
- If x, y R, then 1 2 (x + y + |x - y|) = x holds iff
- Let a_n = i^ (n+1)^2 , where i = -1 and n = 1, 2, 3, Then the value of a_1 + a_3 + a_5 + + a_ 25 is
- The value of sum _ n=1 ^ 13 (i^n + i^ n+1 ), where i = -1 , equals
- If z = x + iy, z^ 1/3 = a - ib and x a - y b = k(a^2 - b^2), then value of k equals
- The smallest positive integer n for which ( 1+i 1-i )^n = 1, is
- 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