Popular Questions
- if z be the conjugate of the complex number z, then which of the following relation is false
- If |z| = 4 and arg z = 5pie/ 6 , then z =
- If (a + ib)(c+id)(e+if)(g+ih) = A + iB, (a sqr + b sqr)(c sqr + d sqr)(e sqr + f sqr) (g sqr + h sqr) =
- if 2z1/3z2 is purely imaginary number then | z1- z2/z1+z2| =
- if z1 and z2 are two complex numbers satisfying the equation |z1+ z2/z1-z2|=1 then z1/z2 is a number which is
- let z be a complex number then the equation z4 + z+2 =0 cannot have a root such that
- if z1,z2 are two complex numbers such that |z1-z2/z1+z2|=1 and iz1=kz2,where k R then angle between z1-z2 and z1+z2 is
- let z be complex number . then the angle between vectors and -iz is
- if for complex number z1 and z2 , arg ( z1/z2 ) = 0 then | z1 - z2 | equal to
- if | z1 | = | z2 | and org (z1/z2) = pie , then z1 +z2 is equal to
- if 0 greater amp ( z ) greater pie, then amp( z) -amp ( -z)
- if z is a complex number then (z-1)(z) =
- arg(3+i/2-i +3-i/2+i ) is equal to
- The value of (1-w+w^2)(1-w^2+w)6, where w, w^2 are cube roots of unity
- If n is positive integer , then ( 1+i)^n + ( 1- i)^n is equal to
- The value of a+bw+cw^2/b+cw+aw + a+bw+cw^2/c+aw+bw^2 will be
- If w is an n^th root of unity , other than unity , then the value of 1+w+w^2 + ....+ w^n-1 is
- If n is a positive integer , then (1 + i root 3 ) power n + ( 1 - i root 3) power n is equal to
- If cube root of 1 is w, then the value of (3+w+3w^2)^4 is
- If 1,w,w^2 are three cube roots of unity, then ( a+bw+ cw^2)3 + (a+bw^2+ cw)^3 is equal to, if a+b+c=0
- (1-w+w^2)(1-w^2+w^4)(1-w^4+w^8)....to 2n factors is
- If a is a complex number such that a^2-a+1 =o then a^2011=
- (- root3 + i) ^53 where i^2 = -1 is equal to
- Givev z =(1+i root3 )100, then Re(z)/Im(z) equal
- If a and b are the roots of the equation x^-x+1=0, then a^2009 + b ^2009=
- [-1/2 +( root3/2) i]^1000=
- If w is not equal to 1 is cube roote of unity , then the sum of series S = 1 + 2w+3w^2+...+3nw^3n-1 is
- [1+sin theetha+ i cos theetha / 1+sin theetha - i cos theetha) ]^n=
- Let w be an imaginary root of x^n =1. then (5-w) (5-w^2)...5-w^n-1) is
- The value of (cos30° + i sinn30°)/(cos60- i sin 60°) is equal to
- We express [(cos2 theetha - i sin 2 theetha)^4 ( cos4 theetha+i sin 4 theetha)^-5]/ [(cos3 theetha+ i sin3 theetha)^-2 ( cos3 thee..
- [(-1+i root3 ^15]/(1-i)^20 + [{(-1-i root3)^15}/(1+i)^20 is equal to
- Let Wn =cos[2pi/n] + i sin [2pi/n], i^2 = -1 then (x+yw3+zw^2+)(x+yw^2+zw3) is equal to
- If a is an imaginary cube root of unity, then for n€ N, the value of a^3n+1 + a^3n+3 + a^3n+5 is
- If z1,z2,z3,z4, are the roots of the equation z^4=1, then the value of siqma z^3 is
- If sin a +sin b + sin y =0=cos a + cos b + cos y, then the.value of sin^2 a +sin 2 b + sin ^2 y is
- If z =(root3+i)/2, then the value of z^69 is
- (sin theetha + i cos theetha) is equal to
- The value of [(cos a+ i sin a)(cos b + i sin b)]/[( cosY +i sinY)(cos delta + i sin delta )] is
- [{1+cos(pi/8)+{i sin+(pi/8)}/[{1+cos(pi/8)-{i sin+(pi/8)}]^8 is equal to
