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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
Chemistry
Biology
Find $(x+1)^6 + (x – 1)^6$. Hence, evaluate $( \sqrt2 + 1)^6+(\sqrt 2 –1)^6$.
cl37644
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q12
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Convert the given complex number in polar form :$\;1-i\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
Find $ (a + b)^4 - (a - b)^4.$ Hence, evaluate $( \sqrt3 + \sqrt2)^4 - (\sqrt 3 - \sqrt 2)^4$.
cl37642
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q11
sec-b
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, indicate which number is larger $(1.1)^{10000}$ or $1000$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q10
sec-a
medium
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $101^4$
cl37637
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q8
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find the derivative of the given function $ 5\sin x-6 \cos x+7$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11-(vi)
asked
Apr 10, 2014
by
thanvigandhi_1
1
answer
Using Binomial Theorem, evaluate $99^5$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q9
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $102^6$
cl37632
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q7
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Using Binomial Theorem, evaluate $96^3$.
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q6
easy
sec-a
asked
Apr 10, 2014
by
balaji.thirumalai
1
answer
Find the derivative of the given function $ 3 \cot x + 5 cosec\: x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11-(v)
asked
Apr 10, 2014
by
thanvigandhi_1
1
answer
The greatest +ve argument of complex number satisfying $|z-4|=Re(z)$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Find the modulus and the argument of the complex number $\;z=-\normalsize \sqrt{3} + \normalsize i$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
Find the derivative of the given function $ cosec \: x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11-(iv)
asked
Apr 10, 2014
by
thanvigandhi_1
1
answer
Given $z=1-t+i\sqrt{t^2+t+2}$ wher $t$ is a real parameter.The locus of z in Argand plane is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Given $z^2+z|z|+|z^2|=0$ the locus of z is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Find the modulus and the argument of the complex number $\;z=-\normalsize 1- \normalsize i\sqrt{3}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
If p and q are distinct prime numbers then the no of distinct imaginary numbers which are $p^{th}$ as well as $q^{th}$ root of unity are
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Which point in Argand plane is equidistant from roots of equation $(z+1)^4=16z^4$?
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Express the following expression in the form $\;\normalsize a + \normalsize ib : \large\frac{(\normalsize 3 + \normalsize i \sqrt{5})(\normalsize 3 - \normalsize i \sqrt{5})}{(\normalsize \sqrt{3} + \normalsize i \sqrt{2})-(\normalsize \sqrt{3} - \normalsize i \sqrt{2})}$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
If $z$ satisfies $|z+1| < |z+2|$ then $\omega=3z+2+i$,satisfies
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Find the derivative of the given function $ 5 \sec x +4 \cos x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11_(iii)
asked
Apr 10, 2014
by
thanvigandhi_1
1
answer
A man deposited $Rs. 10,000$ in a bank at the rate of $5\%$ simple interest annually. Find the amount in $15^{th}$ year since he deposited the amount and also find the total amount after $20$ ears.
cbse
class11
ch9
misc
bookproblem
sequences-and-series
medium
sec-b
math
asked
Apr 10, 2014
by
rvidyagovindarajan_1
1
answer
Find the multiplicative inverse of the complex number $\;\normalsize -i\;$
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
medium
sec-b
asked
Apr 10, 2014
by
yamini.v
1
answer
The maximum distance from origin to the point z satisfying the equation $\big|z+\large\frac{1}{z}\big|=a$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Find the derivative of the given function $\sec x$
math
cbse
class11
ch13
limits-and-derivatives
bookproblem
derivatives
exercise13-2
p312-313
q11-(ii)
asked
Apr 10, 2014
by
thanvigandhi_1
1
answer
Find the multiplicative inverse of the complex number $\;\sqrt{5} +3 \normalsize i\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 10, 2014
by
yamini.v
1
answer
Given $arg\bigg(z_1-\large\frac{\Large\frac{z}{|z|}}{\Large\frac{z}{|z|}}\bigg)=\frac{\pi}{2}$ and $\big|\large\frac{z}{|z|}-$$z_1\big|=3$,then $|z_1|$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $z=(\lambda+3)-i\sqrt{5-\lambda^2}$,then locus of $z$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Complex no lying on angle bisector of $z_1$ and $z_2$ where $z_1=3+\sqrt 3i$ and $z_2=2\sqrt 3+6i$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $z$ is a complex number having least absolute value and $|z-2+2i|=1$ then $z=$
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Find the multiplicative inverse of the complex number $\;\normalsize 4-\normalsize 3 \normalsize i\;$
math
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-1
easy
sec-a
asked
Apr 10, 2014
by
yamini.v
1
answer
If $\alpha$ is $n^{th}$ root of unity,the value of $1+2\alpha+3\alpha^2+...$ upto n terms is equal to
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Value of z satisfying the equation $\log z+\log z^2+.......+\log z^n=0$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Let $z=a(\cos\large\frac{\pi}{5}$$+i\sin\large\frac{\pi}{5})$$\quad a\in R,|a| < 1$ then $S=z^{2015}+z^{2016}+z^{2017}+.......$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $z_1$ and $z_2$ are two non zero complex numbers such that $\mid z_1+z_2\mid=\mid z_1\mid+\mid z_2\mid$ then $arg(z_1)-arg(z_2)$ is equal to
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $x+iy=\sqrt{\large\frac{a+ib}{c+id}}$,then the value of $\large\frac{(x^2+y^2)^2(c^2+d^2)}{(a^2+b^2)}$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
The least value of $\mid z_1+z_2\mid$ if $z_1=24+7i$ and $|z_2|=6$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
The greatest value of $\mid z_1+z_2\mid$ if $z_1=24+7i$ and $|z_2|=6$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $\alpha$ and $\beta$ are distinct complex numbers with $\mid \beta\mid=1$,then value of $\big|\large\frac{\beta-\alpha}{1-\overline{\alpha}\beta}\big|$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
$z=\large\frac{7-i}{3-4i}$ then $z^{14}$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
No of complex numbers satisfying $\overline{z}=iz^2$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $\alpha,\beta$ are roots of $x^2+px+q=0$ and $\omega$ is cube root of unity,then the value of $(\omega\alpha+\omega^2\beta)(\omega^2\alpha+\omega \beta)$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Given,$\omega$ is imaginary cube root of unity,the value of the expression $1(2-\omega)(2-\omega^2)+2(3-\omega)(3-\omega^2)+......(n-1)(n-\omega)(n-\omega^2)$ is
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Equation of straight line joining complex no p and iq(where $p,q\in R$ and $p,q\neq 0)$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
The complex numbers $z_1,z_2,z_3$ are vertices of an equilateral triangle with circumcentre $z_0$.The value of $z_1^2+z_2^2+z_3^2$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
difficult
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $\omega=\cos\large\frac{\pi}{n}$$+i\sin\large\frac{\pi}{n}$,then the value of $1+\omega+\omega^2+.....+\omega^{n-1}$ is :
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $(x+iy)^{\large\frac{1}{3}}=a+ib$ then $\large\frac{x}{a}+\frac{y}{b}$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 10, 2014
by
sreemathi.v
1
answer
If $z_k=\cos\big(\large\frac{k\pi}{10})$$+i\sin(\large\frac{k\pi}{10})$,then $z_1z_2z_3z_4$ equals
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 10, 2014
by
sreemathi.v
1
answer
$z=x+iy$ and $\omega=\large\frac{1-iz}{z-i}$ then $|\omega|=1$ implies that in complex plane
jeemain
math
class11
complex-numbers-and-quadratic-equations
ch5
medium
asked
Apr 10, 2014
by
sreemathi.v
1
answer
Expand the expression: $(x + \large\frac{1}{x}$$)^6$
cl37497
cl37493
easy
sec-a
cl37489
binomial-theorem
cbse
class11
math
ch8
exercise8-1
sec2
binomial-theorem-for-positive-integral-indices
q5
asked
Apr 9, 2014
by
balaji.thirumalai
1
answer
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