Email

Chat with tutors

Login

Ask Questions, Get Answers

Menu X

home ask tuition questions practice papers mobile tutors pricing

X

Recent questions tagged ch5

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 $z_1,z_2$ 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

If $z_1,z_2$ are two complex numbers such that $\large|\frac{z_1+z_2}{z_1-z_2}|=1,$ then $\large\frac{z_1}{z_2}$ is ?

asked Jul 23, 2013 by rvidyagovindarajan_1

1 answer

If $z\:\:and\:\:w$ are two non zero complex numbers such that $|zw|=1$ and $Arg(z)-Arg(w)=\large\frac{\pi}{2},$ then $\overline z w$ = ?

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

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

If the equation $(a+1)x^2-(a+2)x+(a+3)=0$ has roots of equal magnitude and opposite signs, then the roots are

asked Jul 21, 2013 by rvidyagovindarajan_1

1 answer

$|z+\overline z|=|z-\overline z|$ represents ?

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

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 $\alpha,\beta $ are real and $z$ is complex number and $z^2+\alpha z +\beta=0$ has two distinct roots on the line $R_e z=1,$ then the values of $\beta$=?

asked Jul 18, 2013 by rvidyagovindarajan_1

1 answer

The roots of $ax^2+bx+c=0$ are $r$ and $s$. For the roots of $x^2+px+q=0$ to be $r^2$ and $s^2$, what must be the value of $p$ ?

asked Jul 17, 2013 by rvidyagovindarajan_1

1 answer

The sum of all real roots of the equation: $|x-2|^2+|x-2|-2=0$ is ?

asked Jul 17, 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

If $z$ is any complex number then $\large\frac{\overline z}{|z|^2}$$= ?$

asked Jul 16, 2013 by rvidyagovindarajan_1

1 answer

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

A mass of 10 kg is hung to a spring balance in lift. If the lift is moving with an acceleration g/3 in upward and downward directions. choose the correct option related to the reading of the spring balance 1)13.3 kg ,2)6.67 kg, 3) 32.6 kg, 4) 0

asked Jul 12, 2013 by meena.p

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

A person sitting in an open car moving at constant velocity throws a ball vertically up into air. The ball falls

asked Jul 9, 2013 by meena.p

2 answers

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

A man fires the bullet of mass m each with a velocity v from a machine gun. If he fires n bullets every second, the reactional force per second on the man will be

asked Jul 4, 2013 by meena.p

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

A force of $(6 \hat i+8 \hat j) N $ acted on a body of mass 10 kg.The displacement after 10 sec. if it starts from rest will be

asked Jul 4, 2013 by meena.p

1 answer

Two bodies of masses m$_1$ (4 kg) and m$_2$ (3 kg) are suspended at the ends of a string of negligible mass passing over a friction-less pulley as shown here.The acceleration of the system is

asked Jul 4, 2013 by meena.p

1 answer

The linear momentum p of a moving body varies with time according to equation $p=a+bt^2$ where a,b are constants. Net force acting on the body is

asked Jul 4, 2013 by meena.p

1 answer

A man of weight 1 mg is moving up in a rocket with an acceleration 4g. The apparent weight of the man in the rocket is

asked Jul 4, 2013 by meena.p

1 answer

If the tension in the cable of $1000 \;kg$ elevator is $1000\;kg$ weight, the elevator

asked Jul 4, 2013 by meena.p

1 answer

A car is moving with uniform velocity on a rough horizontal road.Then according to Newton's first law of motion

asked Jul 4, 2013 by meena.p

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

Page:

« prev
1
...
13
14
15
16
17
18
19
...
26
next »

Feedback Terms Facebook Twitter About Us

Your payment for is successful.

...