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Recent questions tagged class12
Questions
Find the differential of the functions.$y$=$x\tan$$x$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-6
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\sin$$2x$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-5
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\large\frac{x-2}{2x+3}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-4
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions. $y$=$\sqrt{x^{4}+x^{2}+1}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-3
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions.$y$=$4\sqrt{x}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p74
q1
q1-2
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find the differential of the functions.$y$$=x^{5}$
tnstate
class12
bookproblem
ch6
sec-1
exercise6-1
p73
q1
q1-1
asked
Apr 24, 2013
by
poojasapani_1
1
answer
Find$C$. $\mu$ and $c^{2}$ of the normal distribution whose probability function is given by $f{x}$=$C$$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
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
If the hight of $300$ students are normally distributed with mean $64.5$ inches and standard deviation $3.3$ inches,find the hight below which $99\%$ of the student lie.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q6
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 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
The life of army shoes is normally distributed with mean $8$ months and standard deviation $2$ months. If $5000$ pairs are issued, how many pairs would be expected to need replacement within $12$ months.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q4
asked
Apr 22, 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
Using vector method prove that : $d)\;\cos (A+B)=\cos A\cos B+\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-d
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
Using vector method prove that : $c)\;\cos (A+B)=\cos A\cos B-\sin A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-c
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
If $Z$ is a standard normal variate. Find the value of $c$ for the following $P(Z > c)=0.85$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-3
asked
Apr 22, 2013
by
poojasapani_1
1
answer
Using vector method prove that : $b)\;\sin (A-B)=\sin A\cos B-\cos A\sin B$
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q17
q17-b
p36
medium
sec-b
math
asked
Apr 22, 2013
by
sreemathi.v
1
answer
If $Z$ is a standard normal variate. Find the value of $c$ for the following $P(-c < Z < c)=0.40$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-2
asked
Apr 22, 2013
by
poojasapani_1
1
answer
If $Z$ is a standard normal variate. Find the value of $c$ for the following $ P(0< Z < c)=0.25$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-5
p228
q2
q2-1
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
Using Demoivre's theorem,find the least value of n for which $\bigg(\large\frac{i+\sqrt 3 i}{\sqrt 2(1+i)}\bigg)^n$ is purely imaginary.
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
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
Solve : $(1+y+x^2y)dx+(x+x^3)dy=0$
isc
class12
modelpaper
2003
part-2
sec-d
q16
q16-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
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
Solve : $\large \frac{d^2y}{dx^2}\normalsize =\log x$
isc
class12
modelpaper
2003
part-2
sec-d
q15
q15-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the real values of $x$,$y$ satisfying the equality $\large \frac{x-2+(y-3)i}{1+i}\normalsize=1-3i$
isc
class12
modelpaper
2003
part-2
sec-d
q15
q15-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the locus of a complex number $z=x+iy$ satisfying the relation $\mid12z+3i\mid\geq \mid 2z+5\mid$.Illustrate the locus in the Argand plane.
isc
class12
modelpaper
2003
part-2
sec-d
q14
q14-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve : $\large\frac{dy}{dx}=\frac{(1+\cos ^2x)\sin^2y}{(1+\sin^2y)\cos^2x}$
isc
class12
modelpaper
2003
part-2
sec-d
q14
q14-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
A problem in mathematics is given to three students A,B and C.Their chances of solving the problem are $\large\frac{1}{3}$,$\large\frac{1}{4}$ and $\large\frac{1}{5}$ respectively.Calculate the probability that the problem will be solved.
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-b
asked
Apr 22, 2013
by
sreemathi.v
1
answer
The probability that a contractor will get a plumbing contract is $\large\frac{2}{3}$ and an electric contract is $\large\frac{4}{9}$.If the probability of getting at least one contract is $\large\frac{4}{5}$,find the probability that he will get both the contracts.
isc
class12
modelpaper
2003
part-2
sec-c
q13
q13-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Construct the consumer price index number for 1990,taking 1989 as the base year and using simple average of price relative method for the following data :
isc
class12
modelpaper
2003
part-2
sec-c
q12
q12-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Sample of polythene bags from a manufacturer are tested by a buyer for bursting pressure with the following data :
isc
class12
modelpaper
2003
part-2
sec-c
q12
q12-a
asked
Apr 22, 2013
by
sreemathi.v
1
answer
A psychologist had a random sample of 22 students.He grouped them into 11 pairs.In each pair,one student was taught by method A and other by method B and were examined after the completion of the course.The marks obtained by them are tabulated below :
isc
class12
modelpaper
2003
part-2
sec-c
q11
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Prove that every element a in Boolean algebra has a unique inverse.
isc
class12
modelpaper
2003
part-2
sec-b
q10
10-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
$x,y$ and $z$ represent three switches in an position and $x^1,y^1$ and $z^1$ represent the three switches in an off position.Construct a switching circuit representing the polynomial $(x^1+y^1)(x+z^1)+y^1(y+z)$.Using the laws of Boolean algebra,show that the above polynomial is equivalent to $x^1z^1+y^1$ and construct an equivalent switching circuit.
isc
class12
modelpaper
2003
part-2
sec-b
q10
q10-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the value of $x$,if $1\ast(x\ast 2)=8$,where the operation $\ast$ is defined by $a\ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.
isc
class12
modelpaper
2003
part-2
sec-b
q9
q9-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
A set $S=\{x : x\in R,x\neq -2 \}$ is given.A binary operation $ \ast $ on S is defined by $a \ast b=a+b+\large\frac{ab}{2}\normalsize,\forall a,b,\in R$.Prove that $(S,\ast)$ is an abelian group.
isc
class12
modelpaper
2003
part-2
sec-b
q9
q9-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the volume of the parallelopiped whose three co-terminus edges are represented by the vectors $\hat{i}+\hat{j}+\hat{k},\hat{i}-\hat{j}+\hat{k}$ and $\hat{i}+2\hat{j}-\hat{k}$
isc
class12
modelpaper
2003
part-2
sec-b
q8
q8-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
The position vectors of the vertices of a triangle are given as $2\hat{i}-\hat{j}+\hat{k},\hat{i}-3\hat{j}-5\hat{k}$ and $3\hat{i}-4\hat{j}-4\hat{k}$.Prove that it is a right-angled triangle.
isc
class12
modelpaper
2003
part-2
sec-b
q8
q8-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If $y=e^{m\cos^{-1}x}$,prove that $(1-x^2)\large\frac{d^2y}{dx^2}-\normalsize x\large\frac{dy}{dx}\normalsize=m^2y.$
isc
class12
modelpaper
2003
part-2
sec-a
q7
q7-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Show that the area included between the $x$-axis and the curve $a^2y=x^2(x+a)$ is $\large\frac{a^2}{12}$.
isc
class12
modelpaper
2003
part-2
sec-a
q7
q7-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Three numbers are given whose sum is $180$ and the ratio between first two of them is $1: 2$.If the product of the number is greatest,find the numbers.
isc
class12
modelpaper
2003
part-2
sec-a
q6
asked
Apr 22, 2013
by
sreemathi.v
1
answer
A sphere $x^2+y^2+z^2-3ax-3by-3cz=0$ has a constant radius $3r$.It cuts the axes at the point A,B and C.Show that the centroid of the triangle ABC lies on the sphere $x^2+y^2+z^2=4r^2$
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Show that : $\sin^{-1}\large\frac{4}{5}\normalsize+\cos^{-1}\large\frac{2}{\sqrt 5}\normalsize =\cot^{-1}\large\frac{2}{11}$.
isc
class12
modelpaper
2003
part-2
sec-a
q5
q5-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the equation of the ellipse whose foci are at $(-2,4)$ and $(4,4)$ and whose major and minor axes are 10 and 8 respectively.Also find the eccentricity of the ellipse.
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If pairs of straight lines $x^2-2pxy-y^2=0$ and $x^2-2qxy-y^2=0$ be such that each pair bisects the angle between the other pair,prove that $pq=-1$.
isc
class12
modelpaper
2003
part-2
sec-a
q4
q4-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Using matrices,solve the following system of equations : $x+2y=5,y+2z=8,2x+z=5$.
isc
class12
modelpaper
2003
part-2
sec-a
q3
q3-b
asked
Apr 22, 2013
by
sreemathi.v
2
answers
Using properties of determinants,find the value of the following determinant : $\begin{vmatrix}x^3 & x^2 & x\\y^3 & y^2 & y\\z^3 & z^2 & z\end{vmatrix}$.
isc
class12
modelpaper
2003
part-2
sec-a
q3
q3-a
asked
Apr 22, 2013
by
sreemathi.v
0
answers
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