JEE Advanced questions
3844 published questions with worked solutions.
- If z^2 - z + 1 = 0 then z^n - z^ -n , where n is a multiple of 3, is
- If is a nonreal cube root of unity then 1+2 +3 ^2 2+3 + ^2 + 2+3 + ^2 3+ +2 ^2 is equal to
- If z_r= 2r 5 +i 2r 5 , r=0,1,2,3,4, then z_1z_2z_3z_4z_5 is equal to
- If e^ i = +i then for the ABC, e^ iA e^ iB e^ iC is
- If ( 3+i)^n=( 3-i)^n, n N then the least value of n is
- If the fourth roots of unity are z_1,z_2,z_3,z_4 then z_1^2+z_2^2+z_3^2+z_4^2 is equal to
- If x^3-1=0 has the nonreal complex roots , then the value of (1+2 + )^3-(3+3 +5 )^3 is
- If i= -1 then 4+5 (- 12+i 3 2 )^ 334 -3 ( 12+i 3 2 )^ 365 is equal to
- If ( 3-i)^n=2^n, n Z , the set of integers, then n is a multiple of
- If z(2-i2 3)^2=i( 3+i)^4 then amplitude of z is
- The value of amp (i )+ amp (i ^2), where i= -1 and = [3] 1 = nonreal, is
- If , be two complex numbers then | |^2+| |^2 is equal to
- The set of values of a R for which x^2+i(a-1)x+5=0 will have a pair of conjugate complex roots is
- Nonreal complex numbers z satisfying the equation z^3+2z^2+3z+2=0 are
- For a complex number z, the minimum value of |z|+|z-2| is
- If |z|=1 then 1+z 1+ z is equal to
- If is a nonreal cube root of unity then | ^n|, n Z , is equal to
- Let z_1=a+ib, z_2=p+iq be two unimodular complex numbers such that Im (z_1 z_2)=1. If _1=a+ip, _2=b+iq then
- If |z_1-1|<1, |z_2-2|<2, |z_3-3|<3 then |z_1+z_2+z_3|
- If |z-i| 2 and z_0=5+3i then the maximum value of |iz+z_0| is