List of top Mathematics Questions on Complex Numbers and Quadratic Equations asked in KCET

If $\left( \frac{ 1 - i}{1 + i}\right)^{96} = a + ib $ then (a,b) is

If $\left( \frac{1 + i}{1 - i} \right)^m =1$, then the least positive integral value of $m$ is

The simplified form of $i^{n} + i^{n +1} + i^{n +2} + i^{n +3}$ is

The solution set of the inequation $\frac {x^2+6x-7}{|x+4|}<0$ is

If $\alpha$ and $\beta$ are the roots of $x^2 - ax + b^2 = 0$, then $\alpha^2 + \beta^2$ is equal to

If $x$ is real, then the minimum value of $x^2 - 8x+17 $ is

If $Z = \frac {(\sqrt {3}+ i)^3 (3i+4)^2}{{(8+6i)^2}}$ then $|Z|$ is equal to

The number of solutions of the equation $z^2+\bar{z}=0$, where $z \in C$ are

If $\alpha $ and $\beta$ are different complex numbers with $ | \beta | = 1$, then $\frac {\beta-\alpha}{1-\overline {\alpha} \beta}$ is equal to

If $ \log_2 (9 ^{x-1} + 7) - \log_2 (3^{x-1 } + 1) = 2 $ then $x$ values are

If the conjugate of $(x + iy) (1 - 2i)$ is $1 + i,$ then

If $\alpha ,\beta,\gamma$ are the roots of the equation $x^3+4x+2=0$ then $\alpha^3+\beta^3+\gamma^3$

If $\alpha , \beta ,\gamma$ are the roots of $x^3-2x+1=0$, then the value of $(\sum \frac {1} {\alpha +\beta -\gamma}$) is

In Argand's plane, the point corresponding to $\frac {(1-i\sqrt {3})(1+i)} {(\sqrt {3}+i)}$ lies in

If $\alpha$ and $\beta$ are the roots of $x^2 + x + 1 = 0$ then $\alpha^{16}+\beta^{16}$=

If A.M. and G.M. of roots of a quadratic equation are 5 and 4 respectively, then the quadratic equation is