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Recent questions tagged jun-2007
ASK
If $f(x)$ is a p.d.f of a normal distribution with mean $\mu$ then $\int\limits_{-\infty}^{\infty}f(x)dx$ is
tnstate
class12
bookproblem
p244
objective
q147
modelpaper
oct-2006
mar-2007
jun-2007
asked
Jun 3, 2013
by
poojasapani_1
1
answer
In $16$ throws of a die getting an even number is considered a success. Then the variance of the successes is
tnstate
class12
bookproblem
p243
objective
q139
modelpaper
jun-2007
mar-2010
asked
May 28, 2013
by
poojasapani_1
1
answer
Variance of the random variable $X$ is$4$ .Its mean is $2.$ Then $E(X^{2})$ is
tnstate
class12
bookproblem
p242
objective
q133
modelpaper
jun-2007
mar-2009
asked
May 28, 2013
by
poojasapani_1
1
answer
In the multiplicative group of cube root of unity, the order of $w^{2}$ is
tnstate
class12
bookproblem
p240
objective
q118
modelpaper
jun-2007
oct-2008
asked
May 24, 2013
by
poojasapani_1
1
answer
Which of the following is a tautology?
tnstate
class12
bookproblem
p240
objective
q110
modelpaper
jun-2007
mar-2008
mar-2009
asked
May 24, 2013
by
poojasapani_1
1
answer
The differential equation of all circles with centre at the origin is
tnstate
class12
bookproblem
p238
objective
q87
modelpaper
jun-2007
mar-2009
asked
May 23, 2013
by
poojasapani_1
1
answer
Integrating factor of $\large\frac{dy}{dx}+\frac{1}{x\log x}$$.y=\large\frac{2}{x^{2}}$ is
tnstate
class12
bookproblem
p237
objective
q82
modelpaper
oct-2008
mar-2007
jun-2007
oct-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
If $ \cos x $ is an integrating factor of the differential equation $\large\frac{dy}{dx}$$+Py=Q$ then $P$=
tnstate
class12
bookproblem
p237
objective
q80
modelpaper
jun-2007
oct-2008
mar-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The volume of the solid obtained by revolving $\large\frac{x^{2}}{9}+\frac{y^{2}}{16}$$=1$ about the minor axis is
tnstate
class12
bookproblem
p236
objective
q71
modelpaper
jun-2007
asked
May 22, 2013
by
poojasapani_1
1
answer
The area bounded by the line $y=x,$ the $x$-axis,the ordinates $x=1,x=2$ is
tnstate
class12
bookproblem
p236
objective
q67
modelpaper
jun-2007
oct-2008
mar-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The value of $\int\limits_{-\pi/2}^{\pi/2}\large\left(\frac{\sin x}{2+\cos x}\right)$$dx$ is
tnstate
class12
bookproblem
p235
objective
q63
jun-2007
oct-2007
asked
May 21, 2013
by
poojasapani_1
1
answer
If $u=y\sin x,$ then $\large\frac{\partial^{2} u}{\partial x\partial y}$ is equal to
tnstate
class12
bookproblem
p234
objective
q56
modelpaper
jun-2007
jun-2008
asked
May 21, 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
The radius of a cylinder is increasing at the rate of $2$ cm/sec and its altitude is decreasing at the rate of $3$cm/sec . The rate of change of volume when the radius is $3$cm and the altitude is $5$cm is
tnstate
class12
bookproblem
p230
objective
q17
modelpaper
jun-2007
asked
May 15, 2013
by
poojasapani_1
1
answer
The angle between the curves $\large\frac{x^{2}}{25}+\frac{y^{2}}{9}=$$1$ and $\large\frac{x^{2}}{8}-\frac{y^{2}}{8}=$$1$ is
tnstate
class12
bookproblem
p230
objective
q10
modelpaper
jun-2007
mar-2009
asked
May 15, 2013
by
poojasapani_1
1
answer
The slope of the normal to the curve $y=3x^{2}$ at the point whose $x$ coordinate is $2$ is
tnstate
class12
bookproblem
p229
objective
q6
modelpaper
mar-2006
oct-2006
jun-2007
oct-2009
asked
May 15, 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
The tangents at the end of any focal chord to the parabola $y^{2}=12x$ intersect on the line
tnstate
class12
bookproblem
p274
objective
q94
modelpaper
jun-2007
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
$\large\frac{1+e^{-i\theta}}{1+e^{i\theta}}$=
tnstate
class12
bookproblem
p272
objective
q68
modelpaper
jun-2007
asked
May 12, 2013
by
poojasapani_1
1
answer
The modulus and amplitude of the complex number $[e^{3-i \pi/4}]^{3}$ is respectively
tnstate
class12
bookproblem
p270
objective
q56
modelpaper
jun-2007
mar-2008
jun-2008
oct-2009
mar-2010
asked
May 11, 2013
by
poojasapani_1
1
answer
If$[\overrightarrow{a} + \overrightarrow{b},\overrightarrow{b}+\overrightarrow{c},\overrightarrow{c} + \overrightarrow{a}]=8$ then $[\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}]$ is
tnstate
class12
bookproblem
p267
objective
q36
modelpaper
jun-2007
mar-2010
asked
May 10, 2013
by
poojasapani_1
1
answer
If the projection of $\overrightarrow{a} $ on $\overrightarrow{b} $ and the projection of $\overrightarrow{b}$ on $\overrightarrow{a}$ are equal then the angle between $\overrightarrow{a}+\overrightarrow{b}$ and $\overrightarrow{a}-\overrightarrow{b}$ is
tnstate
class12
bookproblem
p267
objective
q32
modelpaper
jun-2007
oct-2009
asked
May 10, 2013
by
poojasapani_1
1
answer
The vectors $\overrightarrow{2i}+\overrightarrow{3j}+\overrightarrow{4k} $ and $\overrightarrow{ai}+\overrightarrow{bj}+\overrightarrow{ck}$ are perpendicular when
tnstate
class12
bookproblem
p266
objective
q25
modelpaper
jun-2007
asked
May 9, 2013
by
poojasapani_1
1
answer
If $\overrightarrow{a}$ and $\overrightarrow{b} $ include an angle $120^{\circ}$ and their magnitude are $2$ and $\sqrt{3}$ then $\overrightarrow{a} .\overrightarrow{b} $ is equal to
tnstate
class12
bookproblem
p265
objective
q22
modelpaper
jun-2007
jun-2009
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 $A$=$\begin{bmatrix} 2 & 1 \\3 & 4 \end{bmatrix}$, than (adj $A)A$=
tnstate
class12
bookproblem
p263
objective
q8
modelpaper
mar-2007
jun-2007
oct-2008
asked
May 7, 2013
by
poojasapani_1
1
answer
Find the intervals of concavity and the points of inflection of the following functions: $y=12x^{2}-2x^{3}-x^{4}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-11
p67
q1
q1-6
modelpaper
mar-2007
jun-2007
jun-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
Find the intervals on which $f$ is increasing or decreasing. $f(x)=20-x-x^{2}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-7
p41
q5
q5-1
modelpaper
jun-2007
asked
May 4, 2013
by
poojasapani_1
1
answer
Find the area of the region bounded by the curve $y=3x^{2}-x$ and the $x$-axis between $x=-1$ and $x=1$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q4
modelpaper
jun-2007
mar-2009
asked
Apr 27, 2013
by
poojasapani_1
1
answer
Trace the curve $y$=$x^{3}$ Discuss the following curves for extence,symmetry,Asymptotes and loops
tnstate
class12
bookproblem
ch6
sec-1
exercise6-2
p78
q1
modelpaper
oct-2006
jun-2007
oct-2007
jun-2008
oct-2008
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Suppose that the amount of cosmic radiation to which a person is exposed when flying by jet across the united states is a random variable having a normal distribution with a mean of $4.35 m$ rem and standard deviation of $0.59m$ rem. What is the probability that a person will be exposed to than $5.20m$ rem of cosmic radiation of such flight.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q3
modelpaper
jun-2007
asked
Apr 22, 2013
by
poojasapani_1
1
answer
In an entrance examination a student has to answer all the $120$ questions. Each question has four options and only one option is correct. A student gets $1$ mark for a correct answer and loses half mark for a wrong answer. What is the expectation of the mark scored by a student if he chooses the answer to each question at random?
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q3
modelpaper
jun-2007
asked
Apr 20, 2013
by
poojasapani_1
1
answer
The sum of Rs $1000$ is compounded continuously, the nominal rate of interest being four percent per annum. In how many years will the amount be twice the original principal ? $(\log_{e}$$2=0.6931)$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q2
modelpaper
oct-2006
jun-2007
jun-2008
asked
Apr 17, 2013
by
poojasapani_1
1
answer
Solve the following $(x^{2}+y^{2})\;dy$ =$ xy \;dx$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-3
p137
q3
modelpaper
jun-2007
asked
Apr 15, 2013
by
poojasapani_1
1
answer
Find the equation of rectangular hyperbola which has for one of its asymptotes the line $x+2y-5=0 $ and passes through the point $(6 , 0 ) $ and $(-3 , 0 )$ find its equation and asymptotes
tnstate
class12
bookproblem
ch4
sec-1
exercise4-6
p262
q3
modelpaper
mar-2007
mar-2008
oct-2008
oct-2006
jun-2007
asked
Apr 13, 2013
by
poojasapani_1
1
answer
A satellite is travelling around the earth in an elliptical orbit having the earth heat a focus and of eccentricity $\large\frac{1}{2}.$ The shortest distance that the satellite get to the earth is $400kms.$ Find the longest distance that the satellite gets from the earth.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q8
modelpaper
jun-2007
jun-2008
asked
Apr 11, 2013
by
poojasapani_1
1
answer
Show that the following two lines are skew lines: $\overrightarrow{r}=(\overrightarrow{3i}+\overrightarrow{5j}+\overrightarrow{7k})+ t (\overrightarrow{i}-\overrightarrow{2j}+\overrightarrow{k})$ and $\overrightarrow{r}=(\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}) + s (\overrightarrow{7i}-\overrightarrow{6j}+\overrightarrow{7k})$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-7
p100
q2
jun-2007
modelpaper
asked
Apr 7, 2013
by
poojasapani_1
1
answer
Prove that sin $(A - B)$= sin $ A$ cos $B$ - cos $A$ sin $B$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-4
p78
q7
jun-2007
oct-2007
modelpaper
asked
Apr 5, 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
Solve by matrix inversion method following system of linear equation:$\;2x\;-\;y\;=7\;,\;3x\;-2y\;=11$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-2
p13
q1
jun-2007
modelpaper
sec-b
easy
asked
Mar 29, 2013
by
poojasapani_1
1
answer
Show that the set G of all rational numbers except − 1 forms an abelian group with respect to the operation $*$ given by $a * b = a + b + ab$ for all $a, b \in G$.
tnstate
class12
bookproblem
ch9
sec2
exercise9-4
p190
q8
modelpaper
jun-2007
mar-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
Show that p ↔ q ≡ ((∼ p) ∨ q) ∧ ((∼ q) ∨ p)
tnstate
class12
bookproblem
ch9
sec1
exercise9-3
p168
q4
modelpaper
mar-2007
jun-2007
oct-2008
mar-2010
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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