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1.
The modulus of 
is
is
2.
If 
then 
is equal to
then is equal to
3.
The area of the triangle formed by the points representing 
and 
in the Argand plane is
and in the Argand plane is
4.
If 
, then 
is equal to
, then is equal to
5.
Let 
and 
be affixes of two points 
and 
the argand plane and 
represents the complex number 
Then, the locus of if 
is
and be affixes of two points and the argand plane and represents the complex number Then, the locus of if is
6.
If 
then 
is equal to
then is equal to
7.
Given 
8.
The expression 
is real iff
is real iff
9.
If 
are positive and are in AP, then roots of the quadratic equation 
are complex for
are positive and are in AP, then roots of the quadratic equation are complex for
10.
If the roots of the equation 
are equal in magnitude but opposite in sign, then 
is equal to
are equal in magnitude but opposite in sign, then is equal to