Question Text
Question 4 :
The roots of the equation ${ \left( z+\alpha \beta \right) }^{ 3 }={ \alpha }^{ 3 }$ represent the vertices of a triangle, one of whose sides is of length
Question 5 :
Evaluate:${ \left( \dfrac { 1+\cos { \dfrac { \pi  }{ 6 } -i\sin { \dfrac { \pi  }{ 6 }  }  }  }{ 1+\cos { \dfrac { \pi  }{ 6 } +i\sin { \dfrac { \pi  }{ 6 }  }  }  }  \right)  }^{ 6 }$<br/>
Question 7 :
Which of the the following is correct representation of the complex number: $(a,b)$
Question 8 :
Let P$\left( x \right) ={ x }^{ 3 }-6{ x }^{ 2 }+Bx+C$ has 1+5i as a zero and B,C real number, then value of (B+C) is
Question 10 :
Find all complex numbers $z$ which satisfy the following equation<br>$z=-\bar { z }$<br>
Question 11 :
A complex number is represented by an ordered pair $(a,b)$, which of the following is true for $a$ and $b$?
Question 12 :
The locus of complex number z such that z is purely real and real part is equal to - 2 is
Question 14 :
Inequality $a + i b > c + i d$ can be explained only when :
Question 15 :
$i^n + i^{n + 1} + i^{n + 2}+ i^{n + 3} (n   \in   N) $ is equal to
Question 17 :
The simplest form of the expression $\dfrac {10 - \sqrt {-12}}{1 - \sqrt {-27}} $ is