1) Let C denote the set of complex nos. and R the set of real nos. Let the function f :C---->R be defined by f(z)=|z| then

a)f is injective but not surjective

b)f is surjective but not injective

c)f is neither surjective  nor  injective

d)f is both surjective and injective

 

2)The roots of eqn zⁿ =(z+1)ⁿ on the complex plane lie on the line

a)2x+1=0

b)2x-1=0

c)x+1=0

d)x-1=0

 

3)If cos(1-i) = a+ib where a,b are real nos. i = (-1)^1/2

a) a=[(e-1/e)cos1]/2 ,b=[(e+1/e)sin1]/2

b) a=[(e+1/e)cos1]/2 ,b=[(e-1/e)sin1]/2 

c) a=[(e+1/e)cos1]/2 ,b=[(e+1/e)sin1]/2

d) a=[(e-1/e)cos1]/2 ,b=[(e-1/e)sin1]/2