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BITSAT Mock Maths 6: Complex Numbers & Quadratic Equations
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Question 1
The smallest positive integer n for which 
= –1 is -
= –1 is - Question 2
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 3
If (x + iy)1/5 = a + ib, and u = x/a – y/b, then
Question 4
The point z1, z2 and (1 – i) z1 +iz2 of a complex plane are the vertices of a triangle which is -
Question 5
If (3 + i) (z + 
) – (2 + i) (z – 
) + 14i = 0, then 
z is equal to-
) – (2 + i) (z – ) + 14i = 0, then z is equal to-Question 6
The value of the sum 
(in + in + 1), where i =
, equals -
(in + in + 1), where i =, equals - Question 7
z1, z2, z3, z4 be the vertices A, B, C, D respectively of a square on the argand diagram taken in anticlockwise direction then
Question 8
Let α, β be real and z be a complex number. If z2+αz+β=0 has two distinct roots on the line Re(z) = 1, then it is necessary that
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Mar 20JEE & BITSAT
