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Recent questions tagged jun-2006
Questions
Solve : $x^4+4=0$
tnstate
class12
bookproblem
ch3
exercise3-5
q4
q4-1
p166
jun-2006
oct-2008
oct-2009
modelpaper
asked
Jun 12, 2013
by
sreemathi.v
1
answer
If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\cos 2\alpha + \cos 2\beta + \cos 2\gamma = 0$
tnstate
class12
bookproblem
ch3
exercise3-4
q3
q3-3
p157
jun-2006
modelpaper
asked
Jun 11, 2013
by
sreemathi.v
1
answer
The random variable $X$ follows normal distribution $f(x)=ce\large\frac{-1/2(x-100)^{2}}{25}$ Then the value of $c$ is
tnstate
class12
bookproblem
p244
objective
q148
modelpaper
jun-2006
mar-2010
asked
Jun 3, 2013
by
poojasapani_1
1
answer
Var $(4X+3)$ is
tnstate
class12
bookproblem
p243
objective
q135
modelpaper
mar-2006
jun-2006
mar-2008
jun-2008
asked
May 28, 2013
by
poojasapani_1
1
answer
In the multiplicative group of $n{ th } $ roots of unity, the inverse of $\omega^{k}$ is $(k<n)$
tnstate
class12
bookproblem
p241
objective
q123
modelpaper
jun-2006
mar-2008
oct-2009
asked
May 27, 2013
by
poojasapani_1
1
answer
In the set of integers with operation $^{\ast}$ defined by $a ^{\ast} b=a+b-ab,$ the value of $3^{\ast}(4^{\ast} 5)$ is
tnstate
class12
bookproblem
p240
objective
q116
modelpaper
jun-2006
asked
May 24, 2013
by
poojasapani_1
1
answer
The number of rows in the truth table of $\sim[p\land(\sim q)]$ is
tnstate
class12
bookproblem
p240
objective
q108
modelpaper
jun-2006
jun-2008
asked
May 24, 2013
by
poojasapani_1
1
answer
The particular integral of the differential equation $f(D)y=e^{ax}$ where $\;.f(D)=(D-a)g(D).g(a)\neq 0$ is
tnstate
class12
bookproblem
p239
objective
modelpaper
jun-2006
asked
May 24, 2013
by
poojasapani_1
1
answer
On putting $y=vx,$ the homogeneous differential equation $x^{2}dy+y(x+y)dx=0$ becomes
tnstate
class12
bookproblem
p239
objective
q101
modelpaper
jun-2006
asked
May 24, 2013
by
poojasapani_1
1
answer
If $y=ke^{\lambda x}$ then its differential equation is
tnstate
class12
bookproblem
p239
objective
q96
modelpaper
jun-2006
asked
May 23, 2013
by
poojasapani_1
1
answer
Volume of solid obtained by revolving the area of the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ about major and minor axes are in the ratio
tnstate
class12
bookproblem
p236
objective
q74
modelpaper
jun-2006
mar-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The area between the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ and its auxillary circle is
tnstate
class12
bookproblem
p236
objective
q69
modelpaper
mar-2006
jun-2006
mar-2007
jun-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The area of the region bounded by the graph of $y=\sin x$ and $y=\cos x $ between $x=0$ and $x=\large\frac{\pi}{4}$ is
tnstate
class12
bookproblem
p236
objective
q68
modelpaper
jun-2006
oct-2007
mar-2010
asked
May 22, 2013
by
poojasapani_1
1
answer
An asymptote to the curve $y^{2}(a+2x)=x^{2}(3a-x)$ is
tnstate
class12
bookproblem
p234
objective
q54
modelpaper
jun-2006
jun-2007
asked
May 21, 2013
by
poojasapani_1
1
answer
If $u=\log\begin{pmatrix}\large\frac{x^{2}+y^{2}}{xy}\end{pmatrix}$ then $x\large\frac{\partial u}{\partial x}+$$y\large\frac{\partial u}{\partial y}$ is
tnstate
class12
bookproblem
p234
objective
q51
modelpaper
jun-2006
mar-2007
oct-2007
mar-2010
asked
May 21, 2013
by
poojasapani_1
1
answer
The curve $y=ax^{3}+bx^{2}+cx+d$ has a point of inflexion at $x=1$ then
tnstate
class12
bookproblem
p233
objective
q44
modelpaper
jun-2006
asked
May 20, 2013
by
poojasapani_1
1
answer
The eccentricity of the hyperbola whose latus rectum is equal to half of its conjugate axis is
tnstate
class12
bookproblem
p275
objective
q105
modelpaper
jun-2006
jun-2007
asked
May 14, 2013
by
poojasapani_1
1
answer
If $\omega$ is a cube root of unity then the value of $(1-\omega+\omega^{2})^{4}+(1+\omega-\omega^{2})^{4}$ is
tnstate
class12
bookproblem
p273
objective
q81
modelpaper
mar-2006
jun-2006
asked
May 13, 2013
by
poojasapani_1
1
answer
The value of $i+i^{22}+i^{23}+i^{24}+i^{25}$ is
tnstate
class12
bookproblem
p272
objective
q74
modelpaper
mar-2006
jun-2006
jun-2007
jun-2009
asked
May 12, 2013
by
poojasapani_1
1
answer
If $p$ represents the veriable complex number $z$ and if $|2z-1|=2|z|$ then the locus of $p$ is
tnstate
class12
bookproblem
p272
objective
q67
modelpaper
jun-2006
mar-2010
asked
May 12, 2013
by
poojasapani_1
1
answer
The following two lines are $ \large\frac{x-1}{2}=\frac{y-1}{-1}=\frac{z}{1}$ and $\large\frac{x-2}{3}=\frac{y-1}{-5}=\frac{z-1}{2}$ is
tnstate
class12
bookproblem
p270
objective
q53
modelpaper
jun-2006
mar-2010
asked
May 11, 2013
by
poojasapani_1
1
answer
If $|\overrightarrow{a+b}|=|\overrightarrow{a-b}|$ then
tnstate
class12
bookproblem
p266
objective
q27
modelpaper
mar-2006
jun-2006
mar-2007
jun-2009
asked
May 9, 2013
by
poojasapani_1
1
answer
If $A=\large\frac{1}{3}$$\begin{bmatrix} 2 & 2 & 1 \\-2 & 1 & 2 \\1 & -2 & 2 \end{bmatrix}$ prove that $A^{-1}=A^T$.
tnstate
class12
bookproblem
p265
objective
q23
modelpaper
jun-2006
mar-2007
jun-2008
oct-2008
asked
May 8, 2013
by
poojasapani_1
1
answer
If the equation $-2x+y+z=i\;;x-2y+z=m\;;x+y-2z=n$ such that $i+m+n=0,$ then the system has
tnstate
class12
bookproblem
p265
objective
q19
modelpaper
mar-2006
jun-2006
asked
May 8, 2013
by
poojasapani_1
1
answer
In a system of $3$ linear non-homogeneous equation with three unknowns,if $\bigtriangleup=0\;$ and $\;\bigtriangleup_{x}=0 ,\bigtriangleup_y\neq 0 $ and $ \bigtriangleup_z=0$ then the system has
tnstate
class12
bookproblem
p264
objective
q16
modelpaper
jun-2006
jun-2007
mar-2010
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ is a square matrix of order $n$ then |adj$A$| is
tnstate
class12
bookproblem
p264
objective
q9
modelpaper
mar-2006
jun-2006
asked
May 7, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{4}-6x^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-4
modelpaper
jun-2006
asked
May 6, 2013
by
poojasapani_1
1
answer
Verify Lagrange's theorem for the following function;\[\]$f(x)=x^{3}-5x^{2}-3x\;[1,3]$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-4
p26
q1
q1-5
modelpaper
jun-2006
mar-2007
asked
May 3, 2013
by
poojasapani_1
1
answer
Find the perimeter of the circle with radius $a$.
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q1
modelpaper
jun-2006
oct-2008
asked
Apr 30, 2013
by
poojasapani_1
1
answer
Marks in an aptitude test given to $800$ students of a school was found to be normally distributed. $10\%$ of the students scored below $40$ marks and $10\%$ of the students scored above $90$ marks. Find the number of students scored between $40$ and $90$.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q7
modelpaper
jun-2006
asked
Apr 23, 2013
by
poojasapani_1
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-2
modelpaper
jun-2006
oct-2008
oct-2009
asked
Apr 21, 2013
by
poojasapani_1
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$. Out of $1000$ taxi drivers find approximately the number of driver with no accident in a year .$[e^{-3} = 0.0498].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-1
modelpaper
jun-2006
oct-2008
oct-2009
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Solve the following differential equation;$\large\frac{d^{2}y}{dx^{2}}$$-3\large\frac{dy}{dx}$$+2y=2e^{3x}$ when $x =\log$$2$,$y=0,$ and when $x=0,y=0$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q6
modelpaper
jun-2006
mar-2008
asked
Apr 16, 2013
by
poojasapani_1
1
answer
Solve the following $x^{2}\large\frac{dy}{dx}$ =$ y^{2}+2xy$ given that $y=1,$ when $x=1$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q4
modelpaper
jun-2006
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Find the equation of the hyperbola if its asymptotes are parallel to $x+2y-12=0$ and $x-2y+8=0, (2 , 4 ) $ is the centre of the hyperbola and it passes through $(2 , 0 )$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-5
p257
q2
q2-2
mar-2006
mar-2009
jun-2008
jun-2006
modelpaper
asked
Apr 13, 2013
by
poojasapani_1
1
answer
A cable of a suspension bridge is in the form of a parabola whose span is $40mts$ . The road way is $5mts$ below the lowest point of the cable . if an extra support is provided across the cable $30mts$ above the ground level, Find the length of the support if the height of the pillars are $55mts$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p193
q5
jun-2006
oct-2007
modelpaper
asked
Apr 9, 2013
by
poojasapani_1
1
answer
If $ \cos\;\alpha + \cos\;\beta + \cos\;\gamma = 0 = \sin \;\alpha + \sin \;\beta + \sin \;\gamma $, prove that $\sin 2\alpha + \sin 2\beta + \sin 2\gamma = 0$
tnstate
class12
bookproblem
ch3
exercise3-4
q3
q3-4
p157
jun-2006
modelpaper
asked
Apr 8, 2013
by
geethradh
1
answer
Show that the lines $\large \frac{x-1}{1}=\frac{y+1}{-1}=\frac{z}{3}$ and $\large\frac{x-2}{1}=\frac{y-1}{2}=\frac{-z-1}{1}$ intersect and find their point of intersection.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-7
p100
q3
jun-2006
modelpaper
asked
Apr 7, 2013
by
poojasapani_1
1
answer
Find the vector and cartesian equation of the line through the point $(3 , -4 , -2 )$ and parallel to vector $\overrightarrow{9i} +\overrightarrow{6j} +\overrightarrow{2k}$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-6
p94
q6
jun-2006
modelpaper
asked
Apr 6, 2013
by
poojasapani_1
1
answer
Discuss the solutions of the system of equations for all values of $\lambda$. $ x+y+z=2\;,2x+y-2z=2\;,\lambda\;x+y+4z=2$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q2
jun-2006
jun-2007
mar-2007
modelpaper
sec-c
medium
asked
Apr 2, 2013
by
poojasapani_1
1
answer
If$A=\begin{bmatrix} 5 & 2 \\7 & 3 \end{bmatrix}$ and$B=\begin{bmatrix} 2 & -1 \\-1 & 1 \end{bmatrix}$ verify that \((AB)^{-1}=B^{-1}A^{-1}\)
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p10
q5
q5-1
jun-2006
modelpaper
asked
Mar 28, 2013
by
poojasapani_1
1
answer
Show that the set G of all positive rationals forms a group under the composition $*$ defined by $a * b = (\large\frac{ab}{3})$ for all $a, b \in G.$
tnstate
class12
bookproblem
ch9
sec2
exercise9-4
p190
q5
modelpaper
mar-2006
jun-2006
oct-2007
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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