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Recent questions tagged algebra-of-complex-numbers

Given,$(4+i)(z+\overline{z})-(3+i)(z-\overline{z})+26i=0$ then value of $\mid z\mid^2$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

If $z_1+z_2+z_3=0$ and $\mid z_1\mid=\mid z_2\mid=\mid z_3\mid=1$ then value of $z_1^2+z_2^2+z_3^2$ equals

asked Apr 9, 2014 by sreemathi.v

1 answer

If $\mid z+4\mid\leq 3$,then maximum value of $\mid z+1\mid$ is

asked Apr 9, 2014 by sreemathi.v

1 answer

If $\mid z^2-1\mid=\mid z\mid^2+1$ then $z$ lies on

asked Apr 9, 2014 by sreemathi.v

1 answer

$z=\large\frac{1}{1-\cos \theta+i\sin \theta}$.Re(z) is equal to

asked Apr 9, 2014 by sreemathi.v

1 answer

The complex numbers $\sin x+i\cos 2x$ and $\cos x-i\sin 2x$ are conjugate for

asked Apr 9, 2014 by sreemathi.v

1 answer

If $|z+\overline z|+|z-\overline z|=8$ then $z$ lies on ?

asked Aug 6, 2013 by rvidyagovindarajan_1

1 answer

If $R_e\bigg(\large\frac{z-8i}{z+6}\bigg)$$=0$, then $z$ lies in the curve

asked Aug 1, 2013 by rvidyagovindarajan_1

1 answer

$\large\frac{(cosx+isinx)(cosy+isiny)}{(cotu+i)(1+itanv)}=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $ \large\frac{3}{2+\cos\theta+i\sin\theta}=$$x+iy$, then $ (x-1)(x-3)=?$

asked Jul 31, 2013 by rvidyagovindarajan_1

1 answer

If $z_1,z_2,z_3,z_4$ are the roots of $z^4=1$, then $\sum\limits_{i=1}^4 z_i^3$=?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?

asked Jul 28, 2013 by rvidyagovindarajan_1

1 answer

If $p>0,\:q>0$, then the roots of $x^2-px-q=0$ are

asked Jul 27, 2013 by rvidyagovindarajan_1

1 answer

If the complex numbers $z_1,\:z_2,\:z_3$ represent the vertices $A,\:B,\:C$ of a parallelogram, then the fourth vertex $D$ is ?

asked Jul 25, 2013 by rvidyagovindarajan_1

1 answer

If $(1+i)(1+2i)(1+3i).....(1+ni)=x+iy$, then $2.5.10.....(1+n^2)$ = ?

asked Jul 25, 2013 by rvidyagovindarajan_1

1 answer

If $z=2-3i$ then the value of $z^2-4z+14$ = ?

asked Jul 24, 2013 by rvidyagovindarajan_1

1 answer

If $z_1,z_2$ are complex numbers such that $\large\frac{2z_1}{3z_2}$ is purely imaginary the the value of $\bigg|\large\frac{z_1-z_2}{z_1+z_2}\bigg|$ is ?

asked Jul 23, 2013 by rvidyagovindarajan_1

1 answer

For the complex number $z$, the minimum value of $|z|+|z-1|$ is ?

asked Jul 22, 2013 by rvidyagovindarajan_1

1 answer

If $|z_1|=|z_2|=|z_3|=$ $\large|\frac{1}{z_1}+\frac{1}{z_2}+\frac{1}{z_3}|$$=1$, then $|z_1+z_2+z_3|$ = ?

asked Jul 20, 2013 by rvidyagovindarajan_1

1 answer

If $z$ is a complex number so that $iz^2-\overline z=0$, then $|z|= ?$

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

If $\large\frac{c+i}{c-i}$$=a+ib$, then $a^2+b^2$ = ?

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

If $\omega(\neq1)$ is a cube root of unity and $(1+\omega)^7=A+B\omega$, then $(A,B)=?$

asked Jul 3, 2013 by rvidyagovindarajan_1

1 answer

The number of solutions of the equation $z^2+\overline {z}=0$ is

asked Jul 2, 2013 by rvidyagovindarajan_1

1 answer

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