JEE Main202229 Jun 2022Evening ShiftMathematicsComplex NumberActual
Let z represent the principal argument of the complex number z . The, z = 3 and arg z - 1 - arg z + 1 = π 4 intersect:
Options
- AExactly at one point
- BExactly at two points
- CNowhere
- DAt infinitely many points.
Correct answer
C. Nowhere
Step-by-step solution
Let z represent the principal argument of the complex number z . The, z = 3 will represent a circle with centre 0 , 0 and radius 3   units And arg z - 1 - arg z + 1 = π 4 will represent arc of the circle with centre 0 , 1 and radius 2 , now on plotting the diagram, We can see they are intersecting nowhere.