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1.
Let 
be the roots of 
Then the equation whose roots are 
and 
is
be the roots of Then the equation whose roots are and is
2.
The vector 
is turned counterclockwise through an angle of 
and stretched 
times. The complex number corresponding to newly obtained vector is
is turned counterclockwise through an angle of and stretched times. The complex number corresponding to newly obtained vector is
3.
If 
, then the complex number 
is
, then the complex number is
4.
For real values of 
the expression 
will assume all real values provided
the expression will assume all real values provided
5.
If 
is a factor of 
then the other factor is
is a factor of then the other factor is
6.
The centre of a square is at the origin and 
is one of its vertices. The extremities of its diagonals which does not pass through this vertex are
is one of its vertices. The extremities of its diagonals which does not pass through this vertex are
7.
If 
, where 
, then 
has at least
, where , then has at least
8.
If 
is equal to
is equal to
9.
If 
, then
, then
10.
Let 
be three collinear points which are such that 
and the points are represented in the Argand plane by the complex numbers 0, 
and 
respectively, Then,
be three collinear points which are such that and the points are represented in the Argand plane by the complex numbers 0, and respectively, Then,