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Recent questions tagged class12
Questions
If : $\begin{bmatrix}x^2 & 3 & 4\\1 & 9 & 8\end{bmatrix}+\begin{bmatrix}-3x & 1 & -5\\-3 & -2 & -6\end{bmatrix}=\begin{bmatrix}4 & 4 & -1\\-2 & 7 & 2\end{bmatrix}$,find the values of $x$.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-j
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Evaluate : $\int_0^{\large\frac{\pi}{4}}\normalsize (\tan x+\cot x)^{-1}dx.$
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-i
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Using vectors,show that the perpendiculars from the vertices to the opposite sides of the triangle ABC are concurrent.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-h
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Simplify : $(1-\omega)(1-{\omega}^2)(1-{\omega}^2)(1-{\omega}^3)$.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-g
asked
Apr 22, 2013
by
sreemathi.v
0
answers
One number is chosen at random from the numbers 1 to 21.Find the probability that may be a prime number.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-f
asked
Apr 22, 2013
by
sreemathi.v
0
answers
If $y=\tan^{-1}\bigg(\large\frac{2x}{1-x^2}\bigg)$,prove that $\large\frac{dy}{dx}=\frac{2}{1+x^2}$.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-e
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the cosine of the angle between the planes $x+2y-2z+6=0,2x+2y+z+8=0$.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-d
asked
Apr 22, 2013
by
sreemathi.v
0
answers
The equation $y^2-4y-4x+16=0$ represents a parabola.Find its vertex and focus.
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-c
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Find the angle between the straight lines represented by the equation $3x^2-y^2-\sqrt 3x+3y-2=0.$
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-b
asked
Apr 22, 2013
by
sreemathi.v
0
answers
Solve the equation: $\sin^{-1}(6x) + \sin^{-1}(6\sqrt 3 x) =-\large \frac{\pi}{2}$
jeemain
trigonometry
inverse-trignometric-functions
medium
math
cbse
class12
ch2
sec-a
asked
Apr 22, 2013
by
smanpreet070
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-2
modelpaper
jun-2006
oct-2008
oct-2009
asked
Apr 21, 2013
by
poojasapani_1
1
answer
The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$. Out of $1000$ taxi drivers find approximately the number of driver with no accident in a year .$[e^{-3} = 0.0498].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q5
q5-1
modelpaper
jun-2006
oct-2008
oct-2009
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Alpha particles are emitted by a radio active source at an average rate of $5$ in a $20$ minutes interval.Using poisson distribution find the probability that there will be at least $2$ emission in a particular $20$ minutes interval .$[e^{-5}=0.0067].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q4
q4-2
asked
Apr 21, 2013
by
poojasapani_1
1
answer
$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Poisson distribution.$ [e^{-2}=0.1353].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q3
q3-2
asked
Apr 21, 2013
by
poojasapani_1
1
answer
$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Binomial distribution.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p219
q3
q3-1
asked
Apr 21, 2013
by
poojasapani_1
1
answer
If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that more than $3$ fuses are defective$ [e^{-4}=0.0183].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q2
q2-2
asked
Apr 21, 2013
by
poojasapani_1
1
answer
If the probability of a defective fuse from a manufactuning unit is $2\%$ in a box of $200$ fuses find the probability that exactly $4$ fuses are defective
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q2
q2-1
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Let $x$ have a poisson distribution with mean $4$.Find$P(2\leq$X$<$5$)[e^{-4}=0.0183].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q1
q1-2
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Let $X$ have a poisson distribution with mean $4$.Find $(i) \;P(X\leq $3$)\qquad[e^{-4} = 0.0183].$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-4
p218
q1
q1-1
asked
Apr 21, 2013
by
poojasapani_1
1
answer
In a hurdle race a player has to cross $10$ hurdles. The probability that he will clear each hurdle is $\large\frac{5}{6}$. What is the probability that he will knock down less than $2$ hurdles.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q6
asked
Apr 21, 2013
by
poojasapani_1
1
answer
The overall percentage of passes in a certain examination is $80$.If $6$ candidates appear in the examination what is the probability that atleast $5$ pass the examination.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q5
modelpaper
oct-2007
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Four coins are tossed simultaneously .what is the probability of getting at most two heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-3
modelpaper
mar-2008
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Four coins are tossed simultaneously.what is the probability of getting at least two heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-2
modelpaper
mar-2008
asked
Apr 21, 2013
by
poojasapani_1
1
answer
Four coins are tossed simultaneously .what is the probability of getting exactly $2$ heads
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q4
q4-1
modelpaper
mar-2008
asked
Apr 21, 2013
by
poojasapani_1
1
answer
If on an average $1$ ship out of $10$ do not arrive safely to ports. Find the mean and the standard deviation of ship returning safely out of a total of $500$ ships
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q3
asked
Apr 20, 2013
by
poojasapani_1
1
answer
A die is thrown $120$ times and getting $1$ or $5$ is considered a success.Find the mean and variance of the number of successes.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q2
asked
Apr 20, 2013
by
poojasapani_1
1
answer
The mean of a binomial distribution is $6$ and its standard deviation is $3$. Is this statement true or false?comment?
tnstate
class12
bookproblem
ch10
sec-1
exercise10-3
p215
q1
asked
Apr 20, 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$$>$0}\\ 0, & \quad \text{otherwise} \end{array} \right.$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-3
modelpaper
mar-2006
oct-2007
mar-2008
asked
Apr 20, 2013
by
poojasapani_1
1
answer
Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} \alpha e^{-\alpha x} ,& \quad \text{if $x$$>$$0$}\\ 0 ,& \quad \text{otherwise} \end{array} \right.$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-2
modelpaper
oct-2009
asked
Apr 20, 2013
by
poojasapani_1
1
answer
Find the mean and variance for the following probability density functions $f(x) = \left\{ \begin{array}{l l} \frac {1}{24} ,& \quad \text{-12$\leq$$ x$$\leq $$12$}\\ 0, & \quad \text{otherwise} \end{array} \right.$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q7
q7-1
modelpaper
oct-2006
asked
Apr 20, 2013
by
poojasapani_1
1
answer
The probability distribution of a random variable $x$ is given below: \[\] $\begin{array} {llllllll} \textbf{X:}& 0& 1& 2& 3 \\ \textbf{P(X=x):}& 0.1& 0.3 &0.5& 0.1& \end{array}$\[\] If $Y=X^{2}+2X$ find the mean and variance of $Y$.
tnstate
class12
bookproblem
c10
sec-1
exercise10-2
p211
q6
modelpaper
jun-2008
asked
Apr 20, 2013
by
poojasapani_1
1
answer
In a gambling game a man wins Rs.$10 $ if he gets all heads or all tails and loses Rs.$5$ if he gets $1$ or $2$ heads when $3$ coins are tossed once. Find his expectation of gain.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q5
asked
Apr 20, 2013
by
poojasapani_1
1
answer
Two cards are drawn with replacement from a well shuffled deck of $52$ cards. Find the mean and variance for the number of aces.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q4
asked
Apr 20, 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
Find the expected value of the number on a die when thrown.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q2
asked
Apr 20, 2013
by
poojasapani_1
1
answer
A die is tossed twice. A success is getting as odd number on a toss. Find the mean and the variance of the probability distribution of the number of successes.
tnstate
class12
bookproblem
ch10
sec-1
exercise10-2
p211
q1
asked
Apr 20, 2013
by
poojasapani_1
1
answer
If $a \; =\; cos \; 2\alpha \; + \; i \; sin \; 2\alpha , \; b \; =\; cos\; 2\beta + i\; sin\; 2\beta\; $ and $\;c\; = \; cos \; 2\gamma\; + \; i sin\; 2\gamma$ prove that $\frac{a^{2}b^{2}+c^{2}}{abc}\; = \; 2\; cos \; 2\left ( \alpha \;+\;\beta \;+\;\gamma \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-4
q10
q10-2
p158
asked
Apr 19, 2013
by
geethradh
0
answers
If $a \; =\; cos \; 2\alpha \; + \; i \; sin \; 2\alpha , \; b \; =\; cos\; 2\beta + i\; sin\; 2\beta\; $ and $\;c\; = \; cos \; 2\gamma\; + \; i sin\; 2\gamma$ prove that $\sqrt{abc}\; + \; \frac{1}{\sqrt{abc}}\; = \; 2\; cos\left ( \alpha \;+\;\beta \;+\;\gamma \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-4
q10
q10-1
p158
asked
Apr 19, 2013
by
geethradh
0
answers
Find the middle term in the binomial expansion of $\begin{pmatrix}\large\frac{x^2}{4}-\frac{4}{x^2}\end{pmatrix}^{10}$
isc
class12
modelpaper
2003
part-1
sec-a
q1
q1-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
If $x\;=\cos\;\alpha +i\sin\;\alpha\;;\; y\;= \cos\;\beta + i\sin \;\beta $ prove that $x^{m}y^{n} \;+\large \frac{1}{x^{m}y^{n}}$$= \;2\cos \;\left ( m\alpha + n\beta \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-4
q9
p158
mar-2007
modelpaper
asked
Apr 19, 2013
by
geethradh
1
answer
If $x+\large\frac{1}{x}$$ =2\cos\;\theta $ and $y+\large\frac{1}{y}$$=2 \cos \;\phi$ show that $\large\frac{x^{m}}{y^{n}} - \frac{y^{n}}{x^{m}}$$ = 2i \;sin\left ( m\theta -n\phi \right )$
tnstate
class12
bookproblem
ch3
sec3
exercise3-4
q8
q8-2
p158
asked
Apr 19, 2013
by
geethradh
1
answer
Solve the differential equation $\large\frac{d^2y}{dx^2}\normalsize=\sin 2x$
isc
class12
modelpaper
2004
part-2
sec-d
q16
q16-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Using DeMoivre's theorem find the value of $(2-2i)^{\large\frac{1}{3}}$.
isc
class12
modelpaper
2004
part-2
sec-d
q16
16-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Solve the differential equation $(1-x^2)\large\frac{dy}{dx}\normalsize-xy=x$. Given $y=2$ when $x=0$.
isc
class12
modelpaper
2004
part-2
sec-d
q15
q15-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
Given $z=x+iy$ and $z_1=1+2i$ determine the region in the complex plane represented by $I<\mid z-z_1\mid\leq 3$.Represent it on the Argand plane.
isc
class12
modelpaper
2004
part-2
sec-d
q15
q15-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
If $z=x+iy$ and $\mid 2z+1\mid=\mid z-2i\mid$ show that $3(x^2+y^2)+4(x+y)=3.$
isc
class12
modelpaper
2004
part-2
sec-d
q14
q14-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{l l} k & \quad \text{0<x<2n}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ Find $p(\large\frac{\pi}{2}<x<\frac{3\pi}{2})$
tnstate
class12
bookproblem
ch10
sec-1
p204
q10
q10-3
asked
Apr 19, 2013
by
poojasapani_1
1
answer
Solve the differential equation $2\large\frac{dy}{dx}\normalsize=\large\frac{y}{x}\normalsize+\large\frac{y^2}{x^2}$ by substituting $y=vx$.
isc
class12
modelpaper
2004
part-2
sec-d
q14
q14-a
asked
Apr 19, 2013
by
sreemathi.v
0
answers
A random variable $x$ has a probability density function $f(x) = \left\{ \begin{array}{l l} k & \quad \text{0<x<2n}\\ 0 & \quad \text{elsewhere} \end{array} \right.$ Find $p(0<x<\large\frac{\pi}{2})$
tnstate
class12
bookproblem
ch10
sec-1
exercise10-1
p204
q10
q10-2
asked
Apr 19, 2013
by
poojasapani_1
1
answer
A bag has 4 red and 5 black balls,a second bag has 3 red and 7 black balls.One ball is drawn from the first bag and two from the second.Find the probability that two balls are black and one is red.
isc
class12
modelpaper
2004
part-2
sec-c
q13
q13-b
asked
Apr 19, 2013
by
sreemathi.v
0
answers
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