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Recent questions tagged q22
Questions
Solve the following differential equation : $xdy-(y+2x^2)dx=0 $
cbse
class12
modelpaper
2012
sec-c
q22
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
Find the distance of the point (2,3,4) from the line $\Large\frac{x+3}{3}=\frac{y-2}{6}=\frac{z}{2}$ measured parallel to the plane 3x+2y+2z+5 = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch11
q22
p38
math
asked
Feb 5, 2013
by
meena.p
0
answers
Using vector method, prove that if two medians of a triangle are equal, then it is an isosceles.
cbse
class12
additionalproblem
kvquestionbank2012
ch10
q22
p36
difficult
sec-b
math
asked
Feb 5, 2013
by
meena.p
1
answer
Find the probability of throwing at most 2 sixes in 6 throws of a single die.
cbse
class12
modelpaper
2012
sec-c
q22
math
asked
Feb 5, 2013
by
thanvigandhi_1
0
answers
A random variable X has the following probability distribution : Determine : \begin{bmatrix} (i)\: K & (ii) \: P(X<3) & (iii)\: P(X>6) & (iv)\: P(0<X<3) \end{bmatrix}
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Feb 5, 2013
by
thanvigandhi_1
0
answers
A wet porous substance in the open air losses its moisture at a rate proportional to the moisture content. If a sheet hung in the wind loses half of its moisture during the first hour, when will it have lost 95% moisture, weather conditions remaining the same.
cbse
class12
additionalproblem
kvquestionbank2012
ch9
q22
p34
sec-b
math
asked
Feb 4, 2013
by
meena.p
0
answers
Sketch the graph of $ y=|x-1|$ and evaluate \[\int _{-2}^4 |x-1|dx\]
cbse
class12
additionalproblem
kvquestionbank2012
ch8
q22
p32
math
asked
Feb 4, 2013
by
meena.p
0
answers
Probabilities of solving a specific problem independently by A and B are \( \frac{1}{2} \: and \frac{1}{3} \) respectively. If both try to solve the problem independently, find the probability that (i) the problem is solved (ii) exactly one of them solves the problem.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Feb 4, 2013
by
thanvigandhi_1
1
answer
A foot ball match may be either won, drawn or lost by the host country's team. So there are three ways of forecasting the result of any one match. One correct and two incorrect. Find the probability of forecasting at least three correct result for four matches.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
A biased die is twice as likely to shown an even number as an odd number. The die is rolled three times. If occurance of an even number is considered a success, then write the probability distribution of number of successes. Also find the mean number of successes.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Feb 3, 2013
by
thanvigandhi_1
0
answers
In a group of student, selection of four students for cultural activity from 3 boys and 3 girls has to be done. Find the probability that either 3 boys and 1 girl or 3 girls and one boy are selected.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
$S\sin 2x\;log\;\cos x\;dx=$\[(a)\;\frac{1}{2}\cos^2x-cos^2x log\cos x \qquad (b)\;\frac{1}{2}\cos^2x+\cos^2log\cos x \qquad(c)\;\cos^2x.log\cos x \qquad(d)\;\cos^2x (1-log\cos x)\]
cbse
class12
additionalproblem
kvquestionbank2012
ch7
q22
p25
math
asked
Feb 1, 2013
by
meena.p
0
answers
In a family the husband tells a lie in 30% cases and the wife in 35% cases. Find the probability that both contradict each other.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 31, 2013
by
thanvigandhi_1
1
answer
Find the differential equation of all the circles in first quadrant which touch the coordinate axes.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
The items produced by a company contain 100% defective items. Show that probability of getting 2 defective items in a sample space is \( \large\frac{28 \times 9^6}{10^8} \).
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
A problem in mathematics is given to three students A, B and C whose probabilities of solving are \( \frac{1}{3},\frac{2}{7}\) and \( \frac{3}{8}\) respectively. If all the three try to solve the problem simultaneously, find the probability that exactly one of them, solve the problem.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 30, 2013
by
thanvigandhi_1
0
answers
To test the quality of electric bulbs produced in a factory, two bulbs are randomly selected from a large sample without replacement. If either bulb is defective, the entire lot is rejected. Suppose a sample of 200 bulbs contains 5 defective bulbs. Find the probability that the sample will be rejected.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 29, 2013
by
thanvigandhi_1
1
answer
If the slope of the tangent is zero at $ (x_1,y_1)$then the equation of the tangent at $(x_1,y_1)$ is \[y_1=mx_1+c \qquad(b)\;y_1=mx_1\qquad(c)\;y-y_1\qquad(d)\;y=0\]
cbse
class12
additionalproblem
kvquestionbank2012
ch6
q22
p17
math
asked
Jan 29, 2013
by
meena.p
0
answers
A body falls freely from the top of a tower; It covers $\large\frac{5}{9}$th second. Find the height of the tower and the total by the body to fall down. of the whole distance in the last
cbse
class12
modelpaper
2005
sec-b
q22
math
asked
Jan 28, 2013
by
fingeazy
0
answers
A cricket ball is project with a velocity of 29.4 m/sec. Find (a) The greatest range on the horizontal plane; and (b) The angle of projection to give a range of 44.10 m.
cbse
class12
modelpaper
2005
sec-b
q22
math
asked
Jan 28, 2013
by
fingeazy
0
answers
In a village of 50 people, 20 people have their fast on 2nd october. Two persons are selected at random out of them. Write the probability distribution for selected persond who are on fast. Also, find the mean of the distribution.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 28, 2013
by
thanvigandhi_1
0
answers
Arjun throw a die again and again until three fours are obtained. Find the probability of obtaining the third four in the fourth throw of a die.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 27, 2013
by
thanvigandhi_1
0
answers
Let $ f(x)= \left\{ \begin{array}{1 1} |x|\cos \frac{1}{x} & \quad if\;x\neq0 \\ 0 & \quad if\;x=0 \end{array} \right. $ then discuss the continuity of f(x) at x = 0
cbse
class12
additionalproblem
kvquestionbank2012
ch5
q22
p12
medium
math
sec-b
asked
Jan 25, 2013
by
meena.p
1
answer
Three balls are drawn one by one without replacement from a bag containing 5 white and 4 black balls. Find the probability of the number of red balls.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 25, 2013
by
thanvigandhi_1
0
answers
Assume X, Y, Z, W and P are matrices of order (2 x n), (3xk), (n x 3) and (p x k) respectively, then the restriction on n, k and p so that py + my will be defined are : (k=3, p=n)
cbse
class12
additionalproblem
kvquestionbank2012
ch3
q22
p8
math
sec-b
asked
Jan 24, 2013
by
meena.p
0
answers
A and B throws a pair of die turn by turn. The first to throw 9 is awarded by a prize. If A starts the game, show that the probability of A getting the prize is \(\large \frac{9}{17} \).
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 24, 2013
by
thanvigandhi_1
1
answer
The probability that student entering a university will graduate is 0.4. Find the probability that out of 3 students of the university: • None will graduate, • Only one will graduate, • All will graduate.
cbse
class12
modelpaper
2005
sec-c
q22
math
asked
Jan 24, 2013
by
fingeazy
1
answer
In a book of 200 pages, 200 misprints are randomly distributed. Using Poisson's distribution calculate the probability that a randomly observed page of the book will be found to have atlest 3 errors. [Use: e -1 =0.3679]
cbse
class12
modelpaper
2005
sec-c
q22
math
asked
Jan 24, 2013
by
fingeazy
0
answers
Prove that $ \tan^{-1}\large\frac{yz}{xr}+ \tan^{-1}\frac{zx}{yr}+ \tan^{-1}\frac{xy}{zr}=\frac{\pi}{2}\;where\;x^2+y^2+z^2=r^2$
cbse
class12
additionalproblem
kvquestionbank2012
ch2
q22
p6
difficult
sec-c
math
asked
Jan 24, 2013
by
meena.p
1
answer
Evaluate : $\large\frac{1-\cos x}{\cos x (1+\cos x)}$$dx $
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Evaluate : $ \int e^{2x}\sec 2x(1+\tan2x)dx$
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 23, 2013
by
thanvigandhi_1
0
answers
Prove that the inverse of an equivalence relation is an equivalence relation.
cbse
class12
additionalproblem
kvquestionbank2012
ch1
q22
p4
math
sec-b
asked
Jan 23, 2013
by
meena.p
0
answers
In a school, 15 N.S.S. volunteer selected for cultural activities of which 3 are extras 3 volunteers are selected at random out of them. Let X denote the number of volunteer as extras. Find the probability distribution of X.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 22, 2013
by
thanvigandhi_1
0
answers
(i) Jayant contested election for the posts A and B; selection for which is independent. The probability his winning for post A is \( \frac{1}{5} \) and for post B is \( \frac{1}{8} \). What is the probability that Jayant got success in at least one of the post. (ii) How you define ' democracy'?
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 21, 2013
by
thanvigandhi_1
0
answers
Form the differential equation by eliminating A and B in $Ax^2+By^2=1$.
cbse
class12
ch9
sec-b
q22
p194
short-answer
exemplar
math
asked
Jan 18, 2013
by
sreemathi.v
1
answer
The angle between two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ with magnitudes $\sqrt 3$ and 4,respectively,and $\overrightarrow{a}.\overrightarrow{b}=2\sqrt 3$ is
cbse
class12
ch10
q22
p217
exemplar
easy
sec-a
math
asked
Jan 17, 2013
by
sreemathi.v
1
answer
Assume that each child born is equally likely to be a boy or girl. If a family has two children, what is the conditional probability that both are girls given that (a) the eldest is a girl (b) at least one is a girl (c) pre-natal *** determination is a crime. What will you do if you come to know that some of your known is indulging in pre-natal *** determination?
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 17, 2013
by
thanvigandhi_1
0
answers
Find the area bounded by the curve $y=2\cos x$ and the $x$-axis from $x=0$ to x=2$\pi$.
cbse
class12
ch8
q22
p177
exemplar
sec-b
medium
math
asked
Jan 16, 2013
by
sreemathi.v
1
answer
A box contains 2 gold and 3 silver coins. A box is choosen at random and a coin is drawn from it. If the selected coin is a gold coin, find the probability that it was drawn from the second box. A student should not carry ornaments and other precious things to school. why?
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
Evaluate the following\[\int\frac{(\cos 5x+\cos 4x)}{1-2\cos 3x}dx\]
cbse
class12
ch7
q22
p164
short-answer
exemplar
math
sec-b
asked
Jan 14, 2013
by
sreemathi.v
0
answers
(i) In a group of student, selection of four students for cultural activity from 3 boys and 3 girls has to be done. Find the probability that either 3 boys and 1 girl or 3 girls and one boy are selected. (ii) Write the importance of co-curricular activities in inculcating human values.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 14, 2013
by
thanvigandhi_1
0
answers
Two bags A and B contain 2 white, 4 red and 3 white, 3 red balls respectively. One of the bags is selected at random and a ball is drawn from it. If the selected ball is of white colour, find the probability that it is drawn from bag A.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 11, 2013
by
thanvigandhi_1
1
answer
Show that $f(x)=\tan^{-1}(\sin x+\cos x)$ is an increasing function in$\bigg(0,\Large \frac{1}{4}\normalsize \bigg).$
cbse
class12
ch6
q22
p137
short-answer
exemplar
medium
sec-b
math
asked
Jan 11, 2013
by
sreemathi.v
1
answer
There are two bags I and II. Bag I contains 3 white and 4 black balls and Bag II contains 5 white and 6 black balls. One ball is drawn at random from one of the bags and is found to be white. Find the probability that it was drawn from bag I.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 10, 2013
by
thanvigandhi_1
0
answers
A man is known to speak the truth 3 out of 4 times. He throws a dice and reports that it is a six. Find the probability that is actually a six.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 9, 2013
by
thanvigandhi_1
0
answers
The probability of a man hitting a target is 0.25.He shoots 7 times.What is the probability of his hitting at least twice?
cbse
class12
ch13
q22
p273
short-answer
exemplar
sec-a
easy
math
asked
Jan 9, 2013
by
sreemathi.v
1
answer
A speaks truth 8 times out of 10 times. A dice is tossed. He reports that it was 5. What is the probability that it was actually 5?
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 9, 2013
by
thanvigandhi_1
1
answer
A manufacturer produces two Models of bikes-Model X and Model Y.Model X takes a 6 man-hours to make per unit,while Model Y takes 10 man-hours per unit.There is a total of 450 man-hour available per week.Handling and marketing costs are Rs 2000 and Rs 1000 per unit for models X and Y respectively.The total funds available for these purposes are Rs 80,000 per week.Profits per unit for models X and Y are Rs 1000 and Rs 500,respectively.How many bikes of each model should the manufacturer produce so as to yield a maximum profit.Find the maximum profit.
cbse
class12
ch12
q22
p253
exemplar
sec-c
difficult
math
asked
Jan 7, 2013
by
sreemathi.v
1
answer
An insurance company issued 2000 scooters and 3000 motor cycles. The probability of an accident involving a scooter is 0.01 and that of a motor cycle is 0.02. An insured vehicle met with an accident. Find the probability that the accident vehicle was a motor cycle.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 7, 2013
by
thanvigandhi_1
0
answers
An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be at least 4 successes.
cbse
class12
modelpaper
2012
sec-b
q22
math
asked
Jan 4, 2013
by
thanvigandhi_1
0
answers
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