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Recent questions tagged mar-2010
Questions
$P$ represents the variable complex number $z$.Find the locus of $P$,if $\mid z-5i\mid=\mid z+5i\mid$
tnstate
class12
bookproblem
ch3
sec3
exercise3-2
q8
q8-2
p150
mar-2010
modelpaper
asked
Jun 10, 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
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
$\mu_{2}=20, \mu'_{2}=276$ for a discrete random variable $X$. Then the mean of the random variable $X$ is
tnstate
class12
bookproblem
p243
objective
q134
modelpaper
oct-2009
mar-2010
asked
May 28, 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
If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]
tnstate
class12
bookproblem
p240
objective
q107
modelpaper
oct-2007
mar-2010
asked
May 24, 2013
by
poojasapani_1
1
answer
The differential equation $\large\left(\frac{dx}{dy}\right)^{2}$$+5y^{1/3}=x$ is
tnstate
class12
bookproblem
p237
objective
q85
modelpaper
mar-2006
mar-2010
asked
May 22, 2013
by
poojasapani_1
1
answer
Solution of $\large\frac{dx}{dy}$$+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 curved surface area of a sphere of radius $5,$ intercepted between two parallel planes of distance $2$ and $4$ from the centre is
tnstate
class12
bookproblem
p237
objective
q78
modelpaper
oct-2009
mar-2010
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
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
The curve $a^{2}y^{2}=x^{2}(a^{2}-x^{2})$ has
tnstate
class12
bookproblem
p234
objective
q53
modelpaper
mar-2007
oct-2007
oct-2009
mar-2010
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
What is the surface area of a sphere when the volume is increasing at the same rate as its radius?
tnstate
class12
bookproblem
p230
objective
q15
modelpaper
mar-2010
asked
May 15, 2013
by
poojasapani_1
1
answer
A spherical snowball is melting in such a way that its volume is decreasing at a rate of $1 cm^{3}/min.$ The rate at which the diameter is decreasing when the diameter is $10 cms$ is
tnstate
class12
bookproblem
p229
objective
q4
modelpaper
mar-2010
asked
May 15, 2013
by
poojasapani_1
1
answer
The length of the latus rectum of the rectangular hyperbola $xy=32$ is
tnstate
class12
bookproblem
p277
objective
q119
modelpaper
mar-2008
mar-2010
asked
May 14, 2013
by
poojasapani_1
1
answer
The eccentricity of the hyperbola $ 12y^{2}-4x^{2}-24x+48y-127=0$ is
tnstate
class12
bookproblem
p275
objective
q104
modelpaper
oct-2009
mar-2010
asked
May 14, 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
If $-i+2 $ is one root of the equation $ax^{2}-bx+c=0$, then the other root is
tnstate
class12
bookproblem
p273
objective
q76
modelpaper
mar-2008
oct-2009
mar-2010
asked
May 13, 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 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
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} + \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
The equation of the plane passing through the point $(2 , 1 , -1 )$ and the line of intersection of the planes $\overrightarrow{r}. (\overrightarrow{i}+\overrightarrow{3j}-\overrightarrow{k})=0$ and $\overrightarrow{r}. (\overrightarrow{j}+\overrightarrow{2k})=0$ is
tnstate
class12
bookproblem
p269
objective
q46
modelpaper
mar-2010
asked
May 10, 2013
by
poojasapani_1
1
answer
The area of the parallelogram having a diagonal $\overrightarrow{3i}+\overrightarrow{j}-\overrightarrow{k}$ and a side $\overrightarrow{i}-\overrightarrow{3j}+\overrightarrow{4k} $ is
tnstate
class12
bookproblem
p266
objective
q26
modelpaper
jun-2008
oct-2009
mar-2010
asked
May 9, 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 scalar matrix with scalar $k \neq 0$ of order $3$ than $A^{-1}$ is
tnstate
class12
bookproblem
p263
objective
q6
modelpaper
oct-2007
mar-2008
jun-2008
oct-2008
mar-2010
asked
May 7, 2013
by
poojasapani_1
1
answer
The rank of the diagonal matrix $\begin{bmatrix} -1 & & \\ & -2 & \\ & & 0\\& & &-4\\ & & & &0 \end{bmatrix}$
tnstate
class12
bookproblem
p263
objective
q2
modelpaper
mar-2010
asked
May 6, 2013
by
poojasapani_1
1
answer
Let $P$ be a point on the curve $y=x^{3}$ and suppose that the tangent line at $P$ intersects the curve again at $Q$. Prove that the slope at $Q$ is four times the slope at $P$.
tnstate
class12
bookproblem
ch5
sec-1
exercise5-2
p18
q7
modelpaper
oct-2007
mar-2010
asked
May 3, 2013
by
poojasapani_1
1
answer
Find $\large\frac{\partial w}{\partial u}$ and $\large\frac{\partial w}{\partial v}$ if$\;w=x^{2}+y^{2}$ where $x=u^{2}-v^{2},y=2uv$
tnstate
class12
bookproblem
ch6
exercise6-3
p74
q4
q4-2
modelpaper
mar-2010
asked
Apr 26, 2013
by
poojasapani_1
1
answer
Varify $\large\frac{\partial^{2} y}{\partial x\partial y}=\frac{\partial^{2} y}{\partial y\partial x}$ for the following function;$\;u=\tan^{-1}\large(\frac{x}{y})$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-3
p85
q1
q1-4
modelpaper
mar-2010
asked
Apr 25, 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;$(D^{2}+14D+49)$y$=e^{-7x}+4$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-5
p150
q3
modelpaper
mar-2010
asked
Apr 16, 2013
by
poojasapani_1
1
answer
Show that the equation of the curve whose slope at any point is equal to $y+2x$ and which passes through the origin is $y\;=\;2(e^{x}-x-1)$
tnstate
class12
bookproblem
ch8
sec-1
exercise8-4
p140
q9
mar-2010
asked
Apr 16, 2013
by
poojasapani_1
1
answer
Find the axies, vertex, focus, equation of directrix , latus rectum , length of the latus rectum for the following parabolas and hence sketch their graphs. $x^{2}-6x-12y-3=0$.
tnstate
class12
bookproblem
ch4
sec-1
exercise4-1
p192
q2
q2-5
modelpaper
mar-2010
asked
Apr 9, 2013
by
poojasapani_1
1
answer
Derive the equation of the plane in the intercept form.
tnstate
class12
bookproblem
ch2
sec-1
exercise2-8
p112
q14
mar-2010
modelpaper
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
If $\overrightarrow{a} =\overrightarrow{i} + \overrightarrow{j}+\overrightarrow{2k}\; and\; \overrightarrow{b}=\overrightarrow{3i} +\overrightarrow{2j}-\overrightarrow{k}$ find $(\overrightarrow{a}+\overrightarrow{3b}) . (\overrightarrow{2a}-\overrightarrow{b})$
tnstate
class12
bookproblem
ch2
sec-1
exercise2-1
p56
q2
mar-2010
modelpaper
asked
Apr 2, 2013
by
poojasapani_1
1
answer
Examine the consistency of the following system of equation. If it is consistent than solve the same. $x+y+z=7\;,x+2y+3z=18\;,y+2z=6 $
tnstate
class12
bookproblem
ch1
sec-1
exercise1-5
p45
q1
q1-3
oct-2007
mar-2010
modelpaper
sec-b
easy
asked
Mar 30, 2013
by
poojasapani_1
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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