# Recently Active Complex Numbers Questions

• If z1,z2 and z3,z4 are two pairs of conjugate complex numbers, prove that arg(z1/z4) + arg(z2/z3) = 0. ...
• For x Îµ (0, Ï€/2) and sinÂ xÂ =Â 1/3, if \sum_{n=0}^{\infty }\frac{sin(nx)}{3^{n}}=\frac{a+b\sqrt{b}}{c} then find the value of (a + b + c), where a, b, c are positive integers. ...
replied2014-03-07 21:46:45
• For positive integers n1 and n2 , the value of the expression (1+i)n1+(i+13)n1+(i+15)n2+(i+17)n2 here i= -1 is real if and only if (A)n1=n2+1 (B) n1=n2-1 (C) n1=n2 (D)n1>0,n2 >0 pl post the soln as well . ...
replied2014-02-06 20:52:44
• *Image* ...
replied2014-02-06 13:47:04
• The value of i log(x â€“ i) + i2+i3 log(x +i) + i4( 2 tan-1x), x> 0 is (A) 0 (B) 1 (C) 2 (D) 3 ...
replied2013-12-26 09:33:04
• If 'a' is a complex number such that |a|=1.Find the values of a,so that equation az2+z+1=0 has one purely imaginary root. ...
replied2013-10-13 23:02:29
• \hspace{-16} $Minimum value of$\bf{\left|z-1-i \right| + \left |z+2-3i \right| + \left |z+3+2i \right|}$\\\\\\ where$\bf{z = x+iy}$and$\bf{i = \sqrt{-1}}\$ ...
replied2013-08-04 21:27:43
• Argument and modulus of frac{{1 + i}}{{1 - i}} are respectively ...
replied2012-09-01 19:30:29
• If frac{{c + i}}{{c - i}} = a + ib, where a, b, c are real, then {a^2} + {b^2} = ...
• sqrt 3Â + i = ...
• If {( - 7 - 24i)^{1/2}} = x - iy, then {x^2} + {y^2} = ...
• A square root of 2i is ...
• For a positive integer n, the expression {(1 - i)^n}{left( {1 - frac{1}{i}} ight)^n} equals ...