1. If w = z / [ 1 - (1/3)i ] and |w| = 1, then z lies on:
(a) circle (b) ellipse (c) parabola (d) straight line

2. sin^-1{(z-1)/i}, where z is non-real, can be the angle of a triangle if
(a) Re(z) = 1, Im(z) = 2
(b) Re(z) = 1, -1 < Im(z) < 1
(c) Re(z) + Im(z) = 0
(d) None of these

3. If A + iB = C tan (x + iy), then tan2x =

(a) 2CA / C² - A² - B²   (b) 2CA / C² + A² + B²   (c) 2CA / C + A + B   (d) none of these

I am getting ans. as

1. a

2. b

3.a

 am i correct

sry, i don't know the answers. i have solved 1.(d) and 3.(a). But still i am not been able to solve the sond question. Plz someone reply. By the way,bhavesh how u solved these questions. plz post the proper solutions. thnx anyways.