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Revision Quiz | Complex Numbers
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Question 1
Let z=1+ai be a complex number, a > 0, such that z3 is a real number. Then the sum 1+z+z2+z3+...+z11 is equal to
Question 2
Let S denote the set of complex numbers z such that log1/3 (log1/2 (|z|2 + 4 |z| + 3)] < 0, then S is contained in-
Question 3
Let 
and 
be two non – zero complex numbers such that 
then the origin and points represented by 
and 
and be two non – zero complex numbers such that then the origin and points represented by and Question 4
The number of complex numbers z such that |z – 1| = |z + 1| = |z – i| equals
Question 5
If the imaginary part of 
is -2 then the locus of the point z in the argand plane is a
is -2 then the locus of the point z in the argand plane is a Question 6
If the fourth roots of unity are A, B, C, D then 
is equal to
is equal toQuestion 7
If 
is a cube root of unity and
Then find
is a cube root of unity andThen find Question 8
If 
is a cubic root of unity, then
is a cubic root of unity, then Question 9
If z=3+4i then the modulus of 
is
is Question 10
The locus of Arg(1/(z-2)) =π/4 is
Question 11
If z is a complex number then which of the following is not true
Question 12
If 
Find
Find Question 13
Let z∈C, the set of complex numbers. Then the equation 2|z+3i|-|z-i|=0 represents:
Question 14
If P, Q, R are angles of an isosceles triangle and ∠P =π/2, then the value of
(cos P/3 - i sin P/3 )3 + (cos Q + i sin Q) (cos R – i sin R)+ (cos P – i sin P) (cos Q – i sin Q) (cos R – i sin R)
is equal to
(cos P/3 - i sin P/3 )3 + (cos Q + i sin Q) (cos R – i sin R)+ (cos P – i sin P) (cos Q – i sin Q) (cos R – i sin R)
is equal to
Question 15
If,
, then the argument of z is
, then the argument of z is- 525 attempts
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May 16JEE & BITSAT
