IIT-JEE Mathematics

1.The complex numbers sinx+icos2x and cosx-isin2x are conjugate to each other for

2.The product of the cube roots of unity is?

3. The sum and product of two conjugate complex numbers are?

4. The equation of the line joining the points represented by 2-3i and -3+4i in the Argand plane is

5. The locus of z satisfying |z|+|z-1|=3 is

6. Area of the triangle formed by the three complex numbers 1+i ,1-i ,2i in Argand diagram is