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Recent questions tagged modulus-and-conjugate-of-a-complex-number

If $z=\sqrt{20i-21}+\sqrt{20i+21}$,then possible value of arg(z) equals

asked Apr 9, 2014 by sreemathi.v

1 answer

Let $z=\begin{vmatrix}1&2+3i&4+5i\\2-3i&6&7+8i\\4-5i&7-8i&-9\end{vmatrix}$,then

asked Apr 9, 2014 by sreemathi.v

1 answer

For any integer $ n$, the argument of $z=\large\frac{(\sqrt 3+i)^{4n+1}}{(1-\sqrt 3 i)^{4n}}$ is ?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

If conjugate of $(x+iy)(1-2i)=1+i$, then $(x,y)=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The argument of $\large\frac{1-\sqrt 3i}{1+\sqrt 3i}=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

If $z$ is a complex number and $a$ is real, then $(z+a)(\overline z+a)=?$

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The complex numbers $z$ satisfying $|z|-4=0$ and $ |z-i|-|z+5i|=0$ are ?

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

The value of $\large\frac{1}{i}-\frac{1}{i^2}+\frac{1}{i^3}-\frac{1}{i^4}$ = ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

The value of $\large\frac{1-i}{1+i}$ = ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

If $-3+ix^2y$ and $x^2+y+4i$ are conjugate of each other then $(x,y)$= ?

asked Jul 23, 2013 by rvidyagovindarajan_1

1 answer

If $2-i$ is a root of the eqn., $ax^2+12x+b$, where $a$ and $b$ are real then the value of $ab$ = ?

asked Jul 22, 2013 by rvidyagovindarajan_1

1 answer

If $z,\omega$ are complex numbers such that $\overline z+i\omega=0$, then the $arg \:z=?$

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

One of the values of $(i)^{\large\frac{1}{3}}$ is

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

The value of $\sqrt i+\sqrt{-i}$ = ?

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

The complex number $z$ satisfying the equation $arg\large(\frac{z-1}{z+1})=\frac{\pi}{4}$ represents ?

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

If $arg(z)<0$, then $arg(-z)-arg(z)$ = ?

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

If $z_1\:\:and\:\:z_2$ are non zero complex numbers such that $|z_1+z_2|=|z_1|+|z_2|$, then $arg z_1-arg z_2=?$

asked Jul 12, 2013 by rvidyagovindarajan_1

1 answer

The least positive integer $n$ so that $\large(\frac{1+i}{1-i})^n$$=1$ is?

asked Jul 11, 2013 by rvidyagovindarajan_1

1 answer

If $z_1\:\:and\:\:z_2$ are two complex numbers such that $|z_1+z_2|=|z_1|+|z_2|$, then $argz_1-argz_2=?$

asked Jul 8, 2013 by rvidyagovindarajan_1

1 answer

The complex number $z$ is such that $|z|=1,\:z\neq1\:and\:w=\large|\frac{z-1}{z+1}|.$ Then the real part of $w$ is ?

asked Jul 5, 2013 by rvidyagovindarajan_1

1 answer

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