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Recent questions in CBSE XI
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CBSE XI
CBSE XI
Math
Physics
Chemistry
Biology
Find the general solution for each of the following equation $\sec^22x=1-\tan 2x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q8
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for the equation $\sin 2x+\cos x=0$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q7
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for the equation $\cos 3x+\cos x-\cos 2x=0$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q6
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
Find the general solution for each of the following equation $\cos 4x=\cos 2x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q5
sec-b
medium
asked
Apr 18, 2014
by
sreemathi.v
1
answer
The conjugate of the complex number $\;\large\frac{1-i}{1+i}\;$ is
sat
math
trigonometry
cbse
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
The value of $\;(-\sqrt{-1})^{4n-3}\;$ , where $\;n \in N \;$ is
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
The locus of $z$ satisfying $\;arg(z) = \large\frac{\pi}{3}\;$ is
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
If $\;|z|=2\;$ and $\;arg(z) = \large\frac{\pi}{4}\;$ , then $\;z=$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
The real value of $' a '$ for which $\;3i^{3}-2ai^{2}+(1-a)i+5\;$ is real is
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
If $\;z_{1}\;$ and $\;z_{2}\;$ both satisfy $\;z+\overline{z} =2|z-1|\;arg(z_{1}-z_{2}) = \large\frac{\pi}{4}\;,$ then find $\;Im(z_{1}+z_{2})\;.$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the value of $k$ if for the complex numbers $\;z_{1}\;$ and $\;z_{2}\;,|1-\overline{z_{1}}z_{2}|^{2} - |z_{1} - z_{2}|^{2}= k (1-|z_{1}|^{2}) (1-|z_{2}|^{2})$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the value of a such that the sum of the squares of the roots of the equation $\;x^{2}-(a-2)x-(a+1)=0\;$ is least .
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the value of P such that the difference of the roots of the equation $\;x^{2}-Px+8=0\;$ is $2$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the value of $\;2x^{4} + 5 x^{3} +7x^{2} - x+41\;,$ when $\;x=-2-\sqrt{3} i$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Locate the points for which $\; 3 < |z| < 4$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
If a complex number z lies on the interior or on the boundary of a circle of radius 3 units and centre (-4,0) find the greatest and least values of $\;|z+1| \;.$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
If $\;z_{1} , z_{2} ,z_{3}\;$ are complex numbers such that $\;|z_{1}|=|z_{2}|=|z_{3}|=|\large\frac{1}{z_{1}} +\large\frac{1}{z_{2}} + \large\frac{1}{z_{3}}|=1\;$ , then find the value of $\;|z_{1}+ z_{2}+z_{3}|\; .$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Let $\;z_{1}\;$ and $\;z_{2}\;$ be two complex numbers such that $\;|z_{1}+z_{2}| = |z_{1}|+|z_{2}|\;$ Then show that $\;arg(z_{1}) - arg(z_{2}) =0$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Let $\;z_{1}\;$ and $\;z_{2}\;$ be two complex numbers such that $\;\overline{z_{1} }+ i\overline{z_{2}}=0\;$ and $\;arg(z_{1} z_{2}) = \pi\;$ . Then find $\;arg(z_{1})$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Verify that $(-1,2,1),\:(1,-2,5),\:(4,-7,8)\:and\:(2,-3,4)$ are vertices of a parallelogram.
cbse
class11
ch12
introduction-to-3d-geometry
bookproblem
exercise12-2
sec-b
easy
q3-3
asked
Apr 17, 2014
by
rvidyagovindarajan_1
1
answer
If $\;|z^{2}-1| = |z|^{2}+1\;$, then show that $z$ lies on imaginary axis
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.
cbse
class11
ch12
introduction-to-3d-geometry
bookproblem
exercise12-2
sec-b
easy
q3-2
asked
Apr 17, 2014
by
rvidyagovindarajan_1
1
answer
If the imaginary part of $\;\large\frac{2z+1}{iz+1}\;$ is $-2$ , then show that the locus of the point representing $z$ in the argand plane is a straight line .
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Verify that $(0,7,-10),\:(1,6,-6)\:and\:(4,9,-6)$ are vertices of an isosceles triangle.
cbse
class11
ch12
introduction-to-3d-geometry
bookproblem
exercise12-2
sec-b
easy
q3-1
asked
Apr 17, 2014
by
rvidyagovindarajan_1
1
answer
Find the principal and general solution for the equation $cosec x=-2$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q4
sec-c
difficult
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Solve the equation $\;z^{2} = \overline{z}\;$ where $\;z=x+iy$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the principal and general solution for the equation $\cot x=-\sqrt 3$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q3
sec-c
difficult
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Show that the points $(-2,3,5),\:(1,2,3)\:and\:(7,0,-1)$ are collinear.
cbse
class11
ch12
introduction-to-3d-geometry
bookproblem
exercise12-2
sec-b
easy
q2
asked
Apr 17, 2014
by
rvidyagovindarajan_1
1
answer
If $\;(x+iy)^{\large\frac{1}{3}}= a+ib\;$ where $\;x\;,y\;,a\;,b \in R\;$ show that $\; \large\frac{x}{a} - \large\frac{y}{b} = -2 (a^{2} + b^{2})$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the principal and general solution for the equation $\sec x= 2$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q2
sec-c
difficult
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Evaluate : $\; (1+i)^{6} +(1-i)^{3}$
cbse
math
class11
ch5
complex-numbers-and-quadratic-equations
exercise5-2
exemplar
asked
Apr 17, 2014
by
yamini.v
1
answer
Find the principal and general solution of the following equation $\tan x=\sqrt 3$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-4
q1
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove :$\cos 6x=32\cos ^6x-48\cos^4x+18\cos^2x-1$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q25
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cos 4x=1-8\sin^2x\cos^2x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q24
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\tan 4x=\large\frac{4\tan x(1-\tan^2x)}{1-6\tan^2x+\tan^4x}$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q23
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cot x\cot 2x-\cot 2x\cot 3x-\cot 3x.\cot x$=1
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q22
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove $\large\frac{\cos 4x+\cos 3x+\cos 2x}{\sin 4x+\sin 3x+\sin 2x}$$=\cot 3x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q21
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove $\large\frac{\sin x-\sin 3x}{\sin^2x-\cos^2x}$$=2\sin x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q20
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove $\large\frac{\sin x+\sin 3x}{\cos x+\cos 3x}$$=\tan 2x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q19
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\large\frac{\sin x-\sin y}{\cos x+\cos y}$$=\tan\large\frac{x-y}{2}$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q18
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove :$\large\frac{\sin 5x+\sin 3x}{\cos 5x+\cos 3x}$$=\tan 4x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q17
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\large\frac{\cos 9x-\cos 5x}{\sin 17x-\sin 3x}=-\frac{\sin 2x}{\cos 10x}$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q16
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cot 4x(\sin 5x+\sin 3x)=\cot x(\sin 5x-\sin 3x)$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q15
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin 2x+2\sin 4x+\sin 6x=4\cos^2x\sin 4x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q14
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cos^22x-\cos^26x=\sin 4x.\sin 8x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q13
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin^26x-\sin^24x=\sin 2x.\sin 10x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q12
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\cos(\large\frac{3\pi}{4}$$+x)-\cos(\large\frac{3\pi}{4}$$-x)=-\sqrt 2\sin x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q11
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\sin(n+1)x\sin(n+2)x+\cos(n+1)x\cos(n+2)x=\cos x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q10
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
$\cos (\large\frac{3\pi}{2}+$$x)\cos(2\pi+x)[\cot(\large\frac{3\pi}{2}$$-x)+\cot(2\pi+x)]=1$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q9
sec-b
medium
asked
Apr 17, 2014
by
sreemathi.v
1
answer
Prove : $\large\frac{\cos(\pi+x)\cos(-x)}{\sin (\pi-x)\cos(\large\frac{\pi}{2}+\normalsize x)}=$$\cot^2x$
cbse
math
class11
ch3
trigonometric-functions
bookproblem
exercise3-3
q8
sec-a
easy
asked
Apr 17, 2014
by
sreemathi.v
1
answer
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