EXERCISE 2.6

EXERCISE . . If z iy is a complex number such that z show that the locus of z is real axis. . If z iy is a complex number such thatIm iz    , show that the locus of z is . Obtain the Cartesian form of the locus of z iy in each of the following cases: (i) Re iz   (ii) Im[( ] i z (iii) z (iv) z . . Show that the following equations represent a circle, and, find its centre and radius. (i) z (ii) (iii) . Obtain the Cartesian equation for the locus of z iy in each of the following cases: (i) z (ii) z