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Class11

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The equation $z^2=\overline z$ has how many solutions ?

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

The integral solution of the equation $(1-i)^x=2^x$ is?

asked Jul 15, 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 the complex numbers $sinx+icos2x$ and $cosx-isin2x$ are conjugate to each other, then $x=?$

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

$z+\overline z=0$ if and only if

asked Jul 15, 2013 by rvidyagovindarajan_1

1 answer

If the ratio of the roots of $ax^2+bx+c=0$ is equal to the ratio of the roots of $px^2+qx+r=0$ and if $D_1,\:D_2$ are their discriminants respectively, then $D_1:D_2=?$

asked Jul 14, 2013 by rvidyagovindarajan_1

1 answer

If the roots of the equation $x^2-4x-log_3 a=0$ are real, then the least value of $a$ is ?

asked Jul 14, 2013 by rvidyagovindarajan_1

1 answer

If the roots of the equation $x^3+bx^2+cx-1=0$ form an increasing G.P., then $b$ lies in which interval?

asked Jul 13, 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

If $\omega$ is the cube root of unity then the value of $\large\frac{a\omega+b+c\omega^2}{a\omega^2+b\omega+c}+\frac{a\omega^2+b+c\omega}{a+b\omega+c\omega^2}=?$

asked Jul 12, 2013 by rvidyagovindarajan_1

1 answer

Find the value of $\sqrt i.$

asked Jul 11, 2013 by rvidyagovindarajan_1

1 answer

If $x+iy=\large\frac{a+ib}{a-ib}$, then the value of $x^2+y^2=$?

asked Jul 11, 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 $(a_1+ib_1)(a_2+ib_2)......................(a_n+ib_n)=c+id$ then what is the value of $tan^{-1}\large\frac{b_1}{a_1}$+$tan^{-1}\large\frac{b_2}{a_2}$+............................$tan^{-1}\large\frac{b_n}{a_n}$?

asked Jul 9, 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

If $z$ is a complex number where $1+z+z^2=0$, then the value of $(z+\large\frac{1}{z}$$)^2+(z^2+\large\frac{1}{z^2}$$)^2+(z^3+\large\frac{1}{z^3}$$)^2+.......................(z^6+\large\frac{1}{z^6}$$)^2$ = ?

asked Jul 5, 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

Find the value of $ \sum_{n=1}^{200}i^n$

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

The area of the triangle with vertices $z,iz\:\:and\:\:-iz$ is ?

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

The complex number $z$, satisfying the equation $|\large\frac{z-5i}{z+5i}|=$$1$ lies on?

asked Jul 4, 2013 by rvidyagovindarajan_1

1 answer

The number of complex numbers $z$ such that $|z-1|=|z+1|=|z-i|$ is ?

asked Jul 3, 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

If the conjugate of a complex number is $\large\frac{1}{i-1},$ then the complex number is?

asked Jul 3, 2013 by rvidyagovindarajan_1

1 answer

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

asked Jul 2, 2013 by rvidyagovindarajan_1

1 answer