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Mathematics
List of top Mathematics Questions on argand plane
The points represented by the complex numbers \( 1 + i, -2 + 3i, \frac{5}{3}i \) on the Argand plane are:
BITSAT - 2024
BITSAT
Mathematics
argand plane
The points represented by the complex numbers
\[ 1 + i, \quad -2 + 3i, \quad \frac{5}{3} i \]
on the Argand plane are:
BITSAT - 2018
BITSAT
Mathematics
argand plane
The number of the distinct real roots of the equation
$\begin{vmatrix}\sin x&\cos x&\cos x\\ \cos x&\sin x&\cos x\\ \cos x&\cos x&\sin x\end{vmatrix} = 0 $
, in the interval
$ - \frac{\pi}{4} \le x \le \frac{\pi}{4}$
is
UPSEE - 2018
UPSEE
Mathematics
argand plane
If
$\alpha, \beta$
and
$\gamma$
are the roots of the equation
$x^3 - 3x^2 + 3x + 7 = 0$
, and w is cube root of unity, then the value of
$\frac{\alpha-1}{\beta-1} + \frac{\beta-1}{\gamma-1} + \frac{\gamma-1}{\alpha-1}$
is equal to
UPSEE - 2018
UPSEE
Mathematics
argand plane
The perimeter of the locus represented by arg
$\left( \frac{z + i}{z-i}\right) = \frac{\pi}{4}$
is equal to
UPSEE - 2018
UPSEE
Mathematics
argand plane
The number of real roots of the equation
$e^{x-1} + x - 2 = 0$
is
BITSAT - 2015
BITSAT
Mathematics
argand plane
Suppose $z = x + iy$ where $x$ and $y$ are real numbers and $i = \sqrt{-1}$. The points $(x, y)$ for which $\frac{z - 1}{z - i} $ is real, lie on
WBJEE - 2013
WBJEE
Mathematics
argand plane
If $z=\frac{1-i \sqrt{3}}{1+i \sqrt{3}}$, then $\arg (z)$ is
VITEEE - 2010
VITEEE
Mathematics
argand plane
The amplitude of
$(1+i)^5$
is
KCET - 2007
KCET
Mathematics
argand plane
The amplitude of
$\sin \frac{\pi}{5} + i\left( 1 - \cos \frac{\pi}{5}\right) $
COMEDK UGET - 2007
COMEDK UGET
Mathematics
argand plane
If $0 < \alpha
JEE Advanced - 2002
JEE Advanced
Mathematics
argand plane
If
$z= x +iy , x,y \in R , (x,y) \ne (0, -4)$
and
$Arg \left( \frac{2z-3}{z+4i}\right) = \frac{\pi}{4}$
, then the locus of
$z$
is
AP EAPCET
Mathematics
argand plane
If
$z = x + iy , x , y \in R$
and the imaginary part of
$\frac{\bar{z} - 1}{\bar{z} - i}$
is
$1$
then the locus of
$z$
is
AP EAPCET
Mathematics
argand plane
The points
$ 0, 2 + 3i, i, - 2 - 2i $
in the argand plane are the vertices of a
Mathematics
argand plane
Suppose
$z_1, z_2, z_3$
are the vertices of an equilateral triangle inscribed in the circle
$| z| = 2$
. If
$z_1$
=
$\sqrt {3i}$
and
$z_1,z_2,z_3$
are in . the clockwise sense, then
Mathematics
argand plane