Practice questions
88551 published questions with worked solutions.
- If the points z_1,z_2,z_3 are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not...
- Number of non-zero integral solutions of the equation (1-i)^n=2^n is
- If z ( z+ )+ z(z+ )=0 where is a complex constant, then z is represented by a point on
- Let z_1,z_2 be two complex numbers such that z_1+z_2 and z_1z_2 both are real, then
- The points representing cube roots of unity
- If the roots of (z-1)^n=i(z+1)^n are plotted in the Argand plane, they are
- If _0, _1, _2, , _ n-1 be the n^ th roots of unity, then the value of _ i=0 ^ n-1 _i 3- _i is equal to
- The locus of point z satisfying Re (z^2 )=0, is
- If z lies on the circle |z-1|=1, then z-2 z is
- If z_1,z_2 and z_3,z_4 are two pairs of conjugate complex numbers, then ( z_1 z_4 )+ ( z_2 z_3 ) equals
- If az_1+bz_2+cz_3=0 for complex numbers z_1,z_2,z_3 and real numbers a,b,c, then z_1,z_2,z_3 lie on a
- If z_1,z_2,z_3 are vertices of an equilateral triangle inscribed in the circle |z|=2 and if z_1=1+i 3, then
- If at least one value of the complex number z=x+iy satisfy the condition |z+ 2|= a^2-3a+2 and the inequality |z+i 2 |<a, then
- Area of the triangle formed by 3 complex numbers 1+i, i-1, 2i in the Argand plane is
- If z= ( 3 2+ i2 )^5+ ( 3 2- i2 )^5, then
- If (z_1z_2)=0 and |z_1|=|z_2|=1, then
- If +2 +3 = +2 +3 =0 and + + =0, then 3 +8 3 +27 3 =
- Let A(z_1),B(z_2),C(z_3) be the vertices of an equilateral triangle ABC in the Argand plane, then the number ( z_2-z_3...
- The triangle with vertices at the points z_1,z_2,(1-i)z_1+iz_2 is
- z^2+ z+ =0 ( , are complex numbers) has a real root, then