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Recent questions tagged jun-2009
Questions
Given $E(X+c)=8$ and $E(X-c)=12$ then the value of $c$ is
tnstate
class12
bookproblem
p242
objective
q131
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 28, 2013
by
poojasapani_1
1
answer
If $ f(x) = \left\{ \begin{array}{l l} kx^{2}, & \quad \text{$0<x<3$}\\ 0, & \quad \text{elsewhere} \end{array} \right. $ is a probability density function then the value of $k$ is
tnstate
class12
bookproblem
p241
objective
modelpaper
jun-2008
jun-2009
asked
May 28, 2013
by
poojasapani_1
0
answers
The value of $[3]+11([5]+11[6])$ is
tnstate
class12
bookproblem
p241
objective
q119
modelpaper
mar-2006
jun-2009
asked
May 27, 2013
by
poojasapani_1
1
answer
Which of the following is not a binary operation on $R$
tnstate
class12
bookproblem
p240
objective
q113
modelpaper
oct-2007
jun-2008
jun-2009
mar-2010
asked
May 24, 2013
by
poojasapani_1
1
answer
Which of the following is a contradiction ?
tnstate
class12
bookproblem
p240
objective
q111
modelpaper
mar-2006
oct-2006
oct-2008
jun-2009
oct-2009
asked
May 24, 2013
by
poojasapani_1
1
answer
The complementary function of $(D^{2}+1)y=e^{2x}$ is
tnstate
class12
bookproblem
p238
objective
q89
modelpaper
jun-2009
asked
May 23, 2013
by
poojasapani_1
1
answer
Solution of $\large\frac{dx}{dy}$$+mx=0,$where $m<0$ is
tnstate
class12
bookproblem
p237
objective
q83
modelpaper
mar-2008
jun-2009
mar-2010
asked
May 22, 2013
by
poojasapani_1
1
answer
The integrating factor of $\large\frac{dy}{dx}$$+2\large \frac{y}{x}$$=e^{4x}$ is
tnstate
class12
bookproblem
237
objective
q79
modelpaper
jun-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The volume generated by rotating the triangle with vertices at $(0,0),(3,0)$ and $(3,3) $ about $x$-axis is
tnstate
class12
bookproblem
p236
objective
q75
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The area between the ellipse $\large\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}$=$1$ and its auxillary circle is
tnstate
class12
bookproblem
p236
objective
q69
modelpaper
mar-2006
jun-2006
mar-2007
jun-2009
asked
May 22, 2013
by
poojasapani_1
1
answer
The value of $\int\limits_{0}^{\pi/4}\cos^{3}2x dx$ is
tnstate
class12
bookproblem
p235
objective
q65
modelpaper
mar-2007
mar-2008
oct-2008
jun-2009
mar-2010
asked
May 21, 2013
by
poojasapani_1
1
answer
If $x=r\cos\theta,y=r\sin\theta,$ then $\large\frac{\partial r}{\partial x}$ is equal to
tnstate
class12
bookproblem
p234
objective
q49
modelpaper
jun-2009
asked
May 20, 2013
by
poojasapani_1
1
answer
If $u=\large\frac{1}{\sqrt{x^{2}+y^{2}}},$ then $x\large\frac{\partial u}{\partial x}$$+y\large\frac{\partial u}{\partial y}$ is equal to
tnstate
class12
bookproblem
p233
objective
q47
modelpaper
mar-2008
jun-2009
asked
May 20, 2013
by
poojasapani_1
1
answer
Which of the following curves is concave down ?
tnstate
class12
bookproblem
p233
objective
q42
modelpaper
mar-2008
jun-2009
asked
May 20, 2013
by
poojasapani_1
1
answer
The function $f(x)=x^{2}$ is decreasing in
tnstate
class12
bookproblem
p232
objective
q36
modelpaper
jun-2009
asked
May 18, 2013
by
poojasapani_1
1
answer
The slope of the tangent to the curve $y=3x^{2}+3\sin x $ at $x=0 $ is
tnstate
class12
bookproblem
p229
objective
q5
modelpaper
mar-2007
jun-2008
jun-2009
asked
May 15, 2013
by
poojasapani_1
1
answer
The directrices of the hyperbola $x^{2}-4(y-3)^{2}=16$ are
tnstate
class12
bookproblem
p275
objective
q107
modelpaper
mar-2006
jun-2009
asked
May 14, 2013
by
poojasapani_1
1
answer
The distance between the foci of the ellipse $9x^{2}+5y^{2}=180 $ is
tnstate
class12
bookproblem
p274
objective
q98
modelpaper
jun-2009
asked
May 13, 2013
by
poojasapani_1
1
answer
The line $4x+2y=c$ is a tangent to the parabola $y^{2}=16x$ then $c$ is
tnstate
class12
bookproblem
p273
objective
q86
modelpaper
jun-2009
mar-2010
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
The polar form of the complex number $(i^{25})^{3}$ is
tnstate
class12
bookproblem
p271
objective
q66
modelpaper
mar-2006
oct-2006
mar-2007
oct-2007
jun-2009
asked
May 12, 2013
by
poojasapani_1
1
answer
The point of intersection of the lines $\large\frac{x-6}{-6}=\frac{y+4}{4}=\frac{z-4}{-8} $ and $\large\frac{x+1}{2}=\frac{y+2}{4}=\frac{z+3}{-2}$ is
tnstate
class12
bookproblem
p269
objective
q49
modelpaper
oct-2007
jun-2009
asked
May 11, 2013
by
poojasapani_1
1
answer
The shortest distance of the point $(2 , 10 ,1 )$ from the plane $\overrightarrow{r}.(\overrightarrow{3i}-\overrightarrow{j}+\overrightarrow{4k})=2\sqrt{26}$ is
tnstate
class12
bookproblem
p267
objective
q38
modelpaper
mar-2007
mar-2008
jun-2009
oct-2009
asked
May 10, 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 $\overrightarrow{a}$ 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
If $A$=$\begin{bmatrix} 0 & 0 \\0 & 5 \end{bmatrix}$, then $A^{12}$ is
tnstate
class12
bookproblem
p264
objective
q14
modelpaper
jun-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If $A$ is a matrix of order $3$, then det($kA$)
tnstate
class12
bookproblem
p264
objective
q11
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 7, 2013
by
poojasapani_1
1
answer
If A=$\begin{bmatrix} 2& 0& 1 \end{bmatrix}$ than the rank of $AA^{T}$is
tnstate
class12
bookproblem
p263
objective
q3
modelpaper
oct-2006
mar-2008
jun-2009
asked
May 6, 2013
by
poojasapani_1
1
answer
Evaluate the limit for the following if exists. $\;\lim \limits_{x \to 1 } x^{\large\frac{1}{x-1}}$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-6
p34
q1
q1-10
modelpaper
oct-2006
oct-2007
jun-2009
asked
May 6, 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
Verify Rolle's theorem for the following function; $f(x)=\sin x, 0\leq x\leq\pi$.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-3
p22
q1
q1-1
modelpaper
jun-2009
asked
May 3, 2013
by
poojasapani_1
1
answer
Prove that the curved surface area of a sphere of radius $r$ intercepted between two parallel planes at a distance $a$ and $b$ from the centre of the sphere is $\;2\pi r(b-a)$ and hence deduct the surface area of the sphere,$(b>a)$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-5
p122
q4
modelpaper
oct-2006
jun-2009
asked
Apr 30, 2013
by
poojasapani_1
1
answer
Evaluate the following problems using properties of integration: $\int\limits_{0}^{3}\large\frac{\sqrt{x}dx}{\sqrt{x}+\sqrt{3-x}}$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-2
p98
q8
modelpaper
mar-2006
mar-2007
jun-2009
asked
Apr 27, 2013
by
poojasapani_1
1
answer
Find$C$. $\mu$ and $c^{2}$ of the normal distribution whose probability function is given by $f{x}$=$C$$e^{\large -x^2+3x}$$,-\infty<$X$<\infty$.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q8
modelpaper
mar-2008
jun-2009
mar-2010
asked
Apr 23, 2013
by
poojasapani_1
1
answer
Radium disappears at a rate propotional to the amount present .If $5\%$ of the original amount disappears in $50$ years , how much will remain at the end of $100$ years [Take $A_{0}$ as a intial amount.]
tnstate
class12
bookproblem
ch8
sec-1
exercise8-6
p155
q1
modelpaper
jun-2009
mar-2010
asked
Apr 17, 2013
by
poojasapani_1
1
answer
Solve the following differential equation;$(D^{2}-1)$$y=\cos$$2x-2\sin$$2x$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q11
modelpaper
mar-2007
oct-2008
jun-2009
asked
Apr 16, 2013
by
poojasapani_1
1
answer
Prove that the line $5x+12y=9$ touches the hyperbola $x^{2}-9y^{2}=9$ and find its point of contact.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-4
p249
q5
jun-2009
modelpaper
asked
Apr 13, 2013
by
poojasapani_1
1
answer
Find the eccentricity, centre, foci, vertices of the following ellipses and draw the diagram:$ 16x^{2}+9y^{2}+32x-36y=92$
tnstate
class12
bookproblem
ch4
sec-1
exercise4-2
p217
q6
q6-4
modelpaper
jun-2009
asked
Apr 10, 2013
by
poojasapani_1
1
answer
Find the vector cartesian equation of the plane passing through the points with position vectors $\overrightarrow{3i}+\overrightarrow{4j}+\overrightarrow{2k}, \overrightarrow{2i}-\overrightarrow{2j}-\overrightarrow{2k},$ and $\overrightarrow{7i}+\overrightarrow{k}.$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p112
q13
jun-2009
modelpaper
sec-b
asked
Apr 8, 2013
by
poojasapani_1
1
answer
The volume of a parallelopiped whose edges are represented by $-\overrightarrow{12i}+\lambda\overrightarrow{k}, \overrightarrow{3j}-\overrightarrow{k}, \overrightarrow{2i}+\overrightarrow{j}-\overrightarrow{15k} $ is $546;\quad$ find the value of $\lambda$.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-5
p87
q2
jun-2009
mar-2010
modelpaper
asked
Apr 5, 2013
by
poojasapani_1
1
answer
Solve the equation $x^{4}-4x^{3}+11x^{2}-14x+10=0$ if one root is $1+2i$.
tnstate
bookproblem
ch3
sec3
exercise3-3
q2
p152
jun-2009
modelpaper
asked
Apr 3, 2013
by
geethradh
1
answer
Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y-z=1\;,2x+2y-2z=2\;,-3x-3y+3z=-3$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q1
q1-5
jun-2009
modelpaper
sec-c
difficult
asked
Mar 30, 2013
by
poojasapani_1
1
answer
Show that the set {[1], [3], [4], [5], [9]} forms an abelian group under multiplication modulo 11.
tnstate
class12
bookproblem
ch9
sec2
exercise9-4
p190
q9
modelpaper
mar-2007
jun-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
q3
modelpaper
oct-2006
jun-2009
asked
Nov 27, 2012
by
balaji.thirumalai
1
answer
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