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Questions asked by rvidyagovindarajan_1
Questions
870
questions
0
answers selected
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 ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 23, 2013
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 ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 23, 2013
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 $\overline z w$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
easy
asked
Jul 23, 2013
1
answer
If $2-i$ is a root of the eqn., $ax^2+12x+b$, where $a$ and $b$ are real then the value of $ab$ = ?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 22, 2013
1
answer
For the complex number $z$, the minimum value of $|z|+|z-1|$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 22, 2013
1
answer
If $z,\omega$ are complex numbers such that $\overline z+i\omega=0$, then the $arg \:z=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 21, 2013
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
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 21, 2013
1
answer
$|z+\overline z|=|z-\overline z|$ represents ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 21, 2013
1
answer
One of the values of $(i)^{\large\frac{1}{3}}$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 21, 2013
1
answer
The value of $\sqrt i+\sqrt{-i}$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 21, 2013
1
answer
If $|z_1|=|z_2|=|z_3|=$ $\large|\frac{1}{z_1}+\frac{1}{z_2}+\frac{1}{z_3}|$$=1$, then $|z_1+z_2+z_3|$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 20, 2013
1
answer
If $\alpha,\beta $ are real and $z$ is complex number and $z^2+\alpha z +\beta=0$ has two distinct roots on the line $R_e z=1,$ then the values of $\beta$=?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 18, 2013
1
answer
The roots of $ax^2+bx+c=0$ are $r$ and $s$. For the roots of $x^2+px+q=0$ to be $r^2$ and $s^2$, what must be the value of $p$ ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 17, 2013
1
answer
The sum of all real roots of the equation: $|x-2|^2+|x-2|-2=0$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 17, 2013
1
answer
If $z$ is a complex number so that $iz^2-\overline z=0$, then $|z|= ?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 16, 2013
1
answer
If $\large\frac{c+i}{c-i}$$=a+ib$, then $a^2+b^2$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 16, 2013
1
answer
The complex number $\large\frac{1+2i}{1-i}$ lies in which quadrant?
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
easy
asked
Jul 16, 2013
1
answer
If $z$ is any complex number then $\large\frac{\overline z}{|z|^2}$$= ?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 16, 2013
1
answer
The equation $z^2=\overline z$ has how many solutions ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 16, 2013
1
answer
The integral solution of the equation $(1-i)^x=2^x$ is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
easy
asked
Jul 15, 2013
1
answer
The complex number $z$ satisfying the equation $arg\large(\frac{z-1}{z+1})=\frac{\pi}{4}$ represents ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 15, 2013
1
answer
If $arg(z)<0$, then $arg(-z)-arg(z)$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 15, 2013
1
answer
If the complex numbers $sinx+icos2x$ and $cosx-isin2x$ are conjugate to each other, then $x=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 15, 2013
1
answer
$z+\overline z=0$ if and only if
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 15, 2013
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=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 14, 2013
1
answer
If the roots of the equation $x^2-4x-log_3 a=0$ are real, then the least value of $a$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 14, 2013
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?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 13, 2013
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=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 12, 2013
1
answer
If $\alpha\:\:and\:\:\beta$ are the roots of $2x^2-2(1+n^2)x+(1+n^2+n^4)=0$, then the value of $\alpha^2+\beta^2=?$
jeemain
math
class11
ch2
complex-numbers-and-quadratic-equations
easy
asked
Jul 12, 2013
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}=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 12, 2013
1
answer
Find the value of $\sqrt i.$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 11, 2013
1
answer
If $x+iy=\large\frac{a+ib}{a-ib}$, then the value of $x^2+y^2=$?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 11, 2013
1
answer
The least positive integer $n$ so that $\large(\frac{1+i}{1-i})^n$$=1$ is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
easy
asked
Jul 11, 2013
1
answer
If $(a_1+ib_1)(a_2+ib_2)......................(a_n+ib_n)=c+id$ then what is the value of $tan^{-1}\large\frac{b_1}{a_1}$+$tan^{-1}\large\frac{b_2}{a_2}$+............................$tan^{-1}\large\frac{b_n}{a_n}$?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 9, 2013
1
answer
If $z_1\:\:and\:\:z_2$ are two complex numbers such that $|z_1+z_2|=|z_1|+|z_2|$, then $argz_1-argz_2=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 8, 2013
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$ = ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 5, 2013
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 ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
modulus-and-conjugate-of-a-complex-number
medium
asked
Jul 5, 2013
1
answer
Find the value of $ \sum_{n=1}^{200}i^n$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
medium
asked
Jul 4, 2013
1
answer
The area of the triangle with vertices $z,iz\:\:and\:\:-iz$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
quadratic-equations
difficult
asked
Jul 4, 2013
1
answer
The complex number $z$, satisfying the equation $|\large\frac{z-5i}{z+5i}|=$$1$ lies on?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
argand-plane-and-polar-representation
easy
asked
Jul 4, 2013
1
answer
The number of complex numbers $z$ such that $|z-1|=|z+1|=|z-i|$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 3, 2013
1
answer
If $\omega(\neq1)$ is a cube root of unity and $(1+\omega)^7=A+B\omega$, then $(A,B)=?$
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 3, 2013
1
answer
If the conjugate of a complex number is $\large\frac{1}{i-1},$ then the complex number is?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
easy
asked
Jul 3, 2013
1
answer
For any complex number $z$ the minimum value of $|z|+|z-1|$ is ?
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
representation-of-complex-numbers
medium
asked
Jul 2, 2013
1
answer
The number of solutions of the equation $z^2+\overline {z}=0$ is
jeemain
math
class11
ch5
complex-numbers-and-quadratic-equations
algebra-of-complex-numbers
medium
asked
Jul 2, 2013
1
answer
The identity element of the binary operation $\large *$ defined on $Q-\{0\}$ as $a\large *$ $b=\large\frac{ab}{2},$ $ \forall \:a,b\:\in\:Q-\{0\}$
jeemain
math
class12
ch1
relations-and-functions
binary
operations
easy
asked
May 31, 2013
1
answer
If a relation $R$ on the set $\{1,2,3\}$ is defined as $R=\{(1,2)\}$, then $R$ is
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
mock
asked
May 31, 2013
1
answer
If $f:[0,1]\rightarrow\:[0,1]$ is defined as $f(x)=\left \{\begin {array}{c,c}x &if\:x\:is\:rational\\1-x & if\:x\:is\:irrational\end {array}\right.$ then $fof(x)=?$
jeemain
math
class12
ch1
relations-and-functions
composition
of
functions
easy
asked
May 31, 2013
1
answer
The number of bijection mappings that are possible from $Set \:A$ containing 5 elements to $Set\:B$ containing 6 elements is ?
jeemain
math
class12
ch1
relations-and-functions
types
of
functions
easy
asked
May 31, 2013
1
answer
The maximum number of equivalence relations on the set $A=\{1,2,3\}$ is?
jeemain
math
class12
ch1
relations-and-functions
types
of
relations
easy
asked
May 31, 2013
1
answer
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