EXERCISE 2.5

EXERCISE . . Find the modulus of the following complex numbers (i) (ii) (iii) ( − i (iv) )( . For any two complex numbers z and z , such that z = and z z , then show that z z is a real number. . Which one of the points − i , + i is closest to1 + i . . If | | z = , show that + − . If z = , show that . If | | z = , show that + + . If z , and z are three complex numbers such that z , show that z z z z z z . If the area of the triangle formed by the vertices z iz , and z iz is square units, find the value of z . . Show that the equation z has five solutions. . Find the square roots of (i) + i (ii) i (iii) −− i . Complex Numbers