Mathematics questions
18011 published questions with worked solutions.
- 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
- If z_1,z_2, ,z_n are complex numbers such that |z_1|=|z_2|= =|z_n|=1, then |z_1+z_2+ +z_n| is equal to
- If z is a complex number such that z=-z, then
- Let z,w be complex numbers such that z+i w=0 and (zw)= . Then (z) equals
- Let z_1 be a complex number with |z_1|=1 and z_2 be any complex number, then | z_1-z_2 1- z_1z_2 | is equal to
- The argument of (1-i 3)(1+i 3) is
- If 5z_2 11z_1 is purely imaginary, then the value of | 2z_1+3z_2 2z_1-3z_2 | is