Direction : Consider the following for the items that follow :  

Let Z ₁  and Z ₂  be any two complex numbers such that $\rm Z_1^2+Z_2^2+Z_1Z_2=0$

Direction : Consider the following for the items that follow :  

The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP. 

What is the common difference?

Direction : Consider the following for the items that follow :  

The product of 5 consecutive terms of an AP is 229635. The first, second and fifth terms are in GP. 

Direction : Consider the following for the items that follow :  

Let (8 + 3√7) ²⁰  = U + V and (8 - 3√7) ²⁰  = W, where U is an integer and 0 < V < 1.