1. Find the greatest value of |z-i| if |z+1+i|<=1.

 

2.If all the roots of the equation of z³+az²+bz+c=0 are of unit modulus, then

    a. |a|<=3          b. |b|<=3          c. |c|=1            d. |c|>=3 

 

3.The number of rational roots of the equation

     x².3^x+1+3^|x--4|+3=x².3^|x--4|+5+3^x--1 is

   a. 1               b. 2             c. 3           d. none

 

4. The co-efficient of x⁶¹⁵ in (x-1)(x³-3)(x⁵-5)(x⁷-7)................(x⁴⁹-49)is

    a. 15          b. 25        c. 9          d.30

 

5. If a,b,c are in G.P. and x,y are the arithmetic means between a and b,

b and c respectly, then the value of  (a/x + c/y) - (b/x + b/y) is

    a. 2          b. 4          c. 0         d. -4