NDA MATHEMATICS QUIZ

Question 1:

It $|z|=1$ then the quantity $\frac{z}{1+z^{2}}$ is

Imaginary

Real

Complex number

Unity

Question 2:

Locus of a point $z$, which moves in a such a way that $|z-3|=5$, represents a:

parabola

circle

straight line

hyperbola

Question 3:

Square root of $(8-15 i)$ will be

$\pm \frac{1}{\sqrt{2}}(5-3 i)$

$\pm \frac{1}{\sqrt{3}}(3+5 i)$

$\pm \frac{1}{\sqrt{2}}(2-5 i)$

$\pm \frac{1}{\sqrt{2}}(1+3 i)$

Question 4:

If. $\omega$ be the complex cube root of unity then the value of $\left(\frac{1}{\omega^{2}}-\frac{1}{\omega}+1\right)^{7}$ is:

$128 \omega^{2}$

$64 \omega^{2}$

$-128 \omega^{2}$

$-128 \omega$

Question 5:

$\left(\frac{1-i}{1+i}\right)^{300}+\left(\frac{1+i}{1-i}\right)^{102}$ is equal to:

1.0

2.0

0.0

$-2$

Question 6:

It $n$ is an interger then amplitude $z=\frac{(i +\sqrt{3})^{8 n+5}}{(1-i \sqrt{3})^{8 n+4}}$ is:

$\frac{\pi}{4}$

$\frac{\pi}{6}$

$\frac{\pi}{12}$

$\frac{\pi}{3}$

Question 7:

If $7-\sqrt{2} i$ is a root of the equation $x^{2}-2 lx+m$ $=0$ then the values of $l$ and $m$ will be given as

$(7,50)$

$(9,46)$

$(6,48)$

$(7,51)$

Question 8:

$\frac{(1+i)^{3}}{4+3 i}$ is eqivalent to:

$\frac{1}{25}(1+14 i)$

$\frac{1}{25}(-2+14 i)$

$\frac{1}{25}(-7+36 i)$

$\frac{1}{25}(2-13 i)$

Question 9:

Value of $\left\{i^{21}+\left(\frac{1}{i}\right)^{27}\right\}^{2}$ is:

4.0

$-1$

$-4$

2.0

Question 10:

It $i^{2}=-1$ then the value of $i^{(1+2+3+\ldots \ldots+\mathrm{n})} $will be (Where n$\in$I)

1.0

$-1$

$-i$

$i$

NDA MATHEMATICS QUIZ - 1

Question 1:

Question 2:

Question 3:

Question 4:

Question 5:

Question 6:

Question 7:

Question 8:

Question 9:

Question 10:

Time Left : 00:00:00

NDA MATHEMATICS QUIZ - 1

Question 1:

Question 2:

Question 3:

Question 4:

Question 5:

Question 6:

Question 7:

Question 8:

Question 9:

Question 10:

Time Left : 00:00:00

Welcome

GET THE APP

Verify Your Mobile Number