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Recent questions tagged mar-2006
Questions
Find the square root of $(-8-6i)$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q2
p150
mar-2006
oct-2006
modelpaper
asked
Jun 7, 2013
by
sreemathi.v
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
If $f(x)=\large\frac{A}{\pi}\frac{1}{16+x^{2'}}$$-\infty<x<\infty$\[\]is a p.d.f of a continuous random variable $X,$ then the value of $A$ is
tnstate
class12
bookproblem
p241
objective
q126
modelpaper
mar-2006
mar-2007
oct-2008
oct-2009
asked
May 28, 2013
by
poojasapani_1
1
answer
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
$p\leftrightarrow q$ is equivalent to
tnstate
class12
bookproblem
p240
objective
q112
modelpaper
mar-2006
mar-2007
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 P.L of $(3D^{2}+D-14)y=13e^{2x}$ is
tnstate
class12
bookproblem
p239
objective
q103
modelpaper
mar-2006
mar-2007
asked
May 24, 2013
by
poojasapani_1
1
answer
The integrating factor of the differential equation $\large\frac{dy}{dx}$$+py=Q$ is
tnstate
class12
bookproblem
p238
objective
q88
modelpaper
mar-2006
asked
May 23, 2013
by
poojasapani_1
1
answer
The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is
tnstate
class12
bookproblem
p237
objective
q85
modelpaper
mar-2006
mar-2010
asked
May 22, 2013
by
poojasapani_1
1
answer
The volume, When the curve $y=\sqrt{3+x^{2}}$ from $x=0$ to $x=4$ is rotated about $x$-axis is
tnstate
class12
bookproblem
p236
objective
q72
modelpaper
mar-2006
oct-2008
oct-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 $\int\limits_{0}^{1}x(1-x)^{4}dx$ is
tnstate
class12
bookproblem
p235
objective
q62
modelpaper
mar-2006
mar-2009
asked
May 21, 2013
by
poojasapani_1
1
answer
The curve $9y^{2}=x^{2}(4-x^{2})$ is symmetrical about
tnstate
class12
bookproblem
p235
objective
q58
modelpaper
mar-2006
oct-2006
asked
May 21, 2013
by
poojasapani_1
1
answer
The percentage error in the $11^{th}$ root of the number is approximately ______ times the percentage error in $28$.
tnstate
class12
bookproblem
p234
objective
q52
modelpaper
mar-2006
oct-2006
asked
May 21, 2013
by
poojasapani_1
1
answer
In a semi circle of diameter $4$cm a rectangle is to be inscribed . The maximum area of the rectangle is
tnstate
class12
bookproblem
p233
objective
q38
modelpaper
mar-2006
asked
May 18, 2013
by
poojasapani_1
1
answer
The value of $c$ in Rolle's Theorem for the function $f(x)=\cos\large\frac{x}{2}$ on $[\pi,3]$ is
tnstate
class12
bookproblem
p232
objective
q29
modelpaper
mar-2006
mar-2008
asked
May 17, 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
One of the foci of the rectangular hyperbola $xy=18$ is
tnstate
class12
bookproblem
p277
objective
q118
modelpaper
mar-2006
asked
May 14, 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 sum of the distance of any point on the ellipse $ 4x^{2}+9y^{2}=36 $ from $(\sqrt{5},0) and (-\sqrt{5} ,0) $ is
tnstate
class12
bookproblem
p275
objective
q101
modelpaper
mar-2006
oct-2009
asked
May 13, 2013
by
poojasapani_1
1
answer
The line $ 2x+3y+9=0$ touches the parabola $y^{2}=8x$ at the point
tnstate
class12
bookproblem
p274
objective
q93
modelpaper
mar-2006
asked
May 13, 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
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 work done by the force $\overrightarrow {f}=\overrightarrow{i}+\overrightarrow{j}+\overrightarrow{k}$ acting on a particle, if the particle is displaced from $A(3 , 3 , 3 )$ to the point $B(4 , 4 , 4 ) $ is
tnstate
class12
bookproblem
p269
objective
q47
modelpaper
mar-2006
asked
May 11, 2013
by
poojasapani_1
1
answer
If$[\overrightarrow{a}\times\overrightarrow{b},\overrightarrow{b}\times\overrightarrow{c},\overrightarrow{c}\times\overrightarrow{a}]=64$ then $[\overrightarrow{a},\overrightarrow{b},\overrightarrow{c}]$ is
tnstate
class12
bookproblem
p267
objective
q35
modelpaper
mar-2006
mar-2008
oct-2008
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 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
Inverse of $\begin{bmatrix}2& -1 \\-5 & 3 \end{bmatrix}$ is
tnstate
class12
bookproblem
p264
objective
q15
modelpaper
mar-2006
oct-2007
oct-2008
oct-2009
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 on which $f$ is increasing or decreasing. $f(x)= x^{3}-3x+1$
tnstate
class12
bookproblem
ch5
sec-1
exercise5-7
p41
q5
q5-2
modelpaper
mar-2006
mar-2008
asked
May 4, 2013
by
poojasapani_1
1
answer
Find the common area enclosed by the parabolas $4y^{2}=9x$ and $3x^{2}=16y$
tnstate
class12
bookproblem
ch7
sec-1
exercise7-4
p117
q9
modelpaper
mar-2006
asked
Apr 28, 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
The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh more than $185$ pounds
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-2
modelpaper
mar-2006
mar-2009
asked
Apr 22, 2013
by
poojasapani_1
1
answer
The mean weight of $500 $ male students in a certain college in $151$ pounds and the standard deviation is $15$ pounds. Assuming the weights are normally distributed, find how many students weigh between $120$ and $155$ pounds
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q5
q5-1
modelpaper
mar-2006
mar-2009
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(85\leq$X$\leq$95$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-5
modelpaper
mar-2006
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilites by standardizing. $P(70$$<$X$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-4
modelpaper
mar-2006
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(65\leq$X$\leq$100$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-3
modelpaper
mar-2006
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(X\leq$80$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-2
modelpaper
mar-2006
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing. $P(X\leq$100$)$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q1
q1-1
modelpaper
mar-2006
asked
Apr 22, 2013
by
poojasapani_1
1
answer
Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} xe^{-x}, & \quad \text{if $x$$>$0}\\ 0, & \quad \text{otherwise} \end{array} \right.$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-3
modelpaper
mar-2006
oct-2007
mar-2008
asked
Apr 20, 2013
by
poojasapani_1
1
answer
Solve the following differential equation;$(D^{2}-6D+9)$$y=x+e^{2x}$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q10
modelpaper
mar-2006
jun-2008
mar-2009
asked
Apr 16, 2013
by
poojasapani_1
1
answer
Prove that the tangent at any point to the rectangular hyperbola forms with the asymptotes a tringle of constant area.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-6
p262
q7
modelpaper
mar-2006
oct-2007
asked
Apr 14, 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
Find the vector and cartesian equations of the plane through the points $(1 , 2 , 3 )$and $(2 , 3 , 1 )$ perpendicular to the plane $ 3x-2y+4z-5=0$
modelpaper
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p111
q11
mar-2006
oct-2006
oct-2007
jun-2008
asked
Apr 8, 2013
by
poojasapani_1
1
answer
Find the d . c. s of a vector whose direction ratios are $2 , 3 , -6.$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-6
p94
q1
mar-2006
modelpaper
asked
Apr 6, 2013
by
poojasapani_1
1
answer
Forces $\overrightarrow{2i}+\overrightarrow{7j}, \overrightarrow{2i}-\overrightarrow{5j}+\overrightarrow{6k}, \overrightarrow{-i}+\overrightarrow{2j}-\overrightarrow{k}$ act at a point $P$ Whose position vector is $\overrightarrow{4i}-\overrightarrow{3j}-\overrightarrow{2k}.$ Find the moment of the resultant of three forces acting at $P$ about the point $Q$ whose position vector is $\overrightarrow{6i}+\overrightarrow{j}-\overrightarrow{3k}.$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-4
p78
q8
mar-2006
asked
Apr 5, 2013
by
poojasapani_1
1
answer
Prove by the vector method , cos$(A+B)=$ cos$A$ cos$B$ - sin$A$ sin$B$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-2
p62
q4
mar-2006
mar-2008
modelpaper
asked
Apr 3, 2013
by
poojasapani_1
1
answer
Find the rank of the following matrix :$\begin{bmatrix} 1 & -2 & 3 &4 \\-2 & 4 & -1 &-3 \\-1 & 2 & 7 &6 \end{bmatrix}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-3
p19
q6
mar-2006
modelpaper
sec-b
medium
asked
Mar 29, 2013
by
poojasapani_1
1
answer
For $A=\begin{bmatrix} -1 & 2 & -2 \\4 & -3 & 4 \\4 & -4 & 5 \end{bmatrix}$ show that $A=A^{-1}$
tnstate
class12
bookproblem
ch1
sec-1
exercise1-1
p10
q10
mar-2006
modelpaper
asked
Mar 29, 2013
by
poojasapani_1
1
answer
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