Practice questions
88551 published questions with worked solutions.
- If A(z_1), B(z_2) and C(z_3) be the vertices of a triangle ABC in which ABC= 4 and AB BC = 2, then the value of z_2 is equal to
- The area of the triangle whose vertices are represented by the complex number 0, z, ze^ i , (0< < ) equalsNot in JEE syllabus
- If a= +i , b= +i , c= +i and bc+ ca+ ab=1, then ( - )+ ( - )+ ( - ) is equal to
- If z is a complex number, then ( z^ -1 )( z) is equal to
- If and are different complex numbers with | |=1 then | - 1- | is equal to
- The value of 1+i^2+i^4+i^6+ +i^ 2n is
- Let z be a complex number and a be a real parameter such that z^2+az+a^2=0, then
- If z_1 and z_2 are two nth roots of unity, then ( z_1 z_2 ) is a multiple of
- If z is a complex number, then |3z-1|=3|z-2| represents
- If the imaginary part of the expression z-1 e^ i + e^ i z-1 be zero, then the locus of z is
- 1-c^2 =nc-1 and z=e^ i , then c 2n (1+nz) (1+ nz ) is equal to
- The complex number z satisfies the condition |z- 25 z |=24. The maximum distance from the origin of coordinates to the point z is
- The number of non-zero integral solutions of the equation |1-i|^x=2^x is
- If |z+4| 3, then the greatest and the least value of |z+1| are
- Let a be a complex number such that |a|<1 and z_1,z_2, be vertices of a polygon such that z_k=1+a+a^2+ +a^ k-1 . Then the...
- If _ 3 ( |z|^2-|z|+1 2+|z| )<2, then the locus of z is
- Common roots of the equations z^3+2z^2+2z+1=0 and z^ 1985 +z^ 100 +1=0 are
- The equation z^5+z^4+z^3+z^2+z+1=0 is satisfied by
- Let z_1 and z_2 be two complex numbers with and as their principle arguments such that + > , then principal (z_1z_2) is given by
- If |z-2|= |z-1|,|z-5| , where z is a complex number, then